If the site is level you would not add leveling blocks under any wheels neither would you need the HWH system to level. The HWH jacks could be deployed to add stabiliy whereas blocks under the wheels do not.
In a worst case site condition you could add leveling blocks to two diagonal corners to establish level to the point the remaining two wheels were not carrying any weight. This would result in worst case racking. At the same out of level site the HWH system would balance out hydraulic pressure to minimize racking and also provide stability.
To understand the impact on systems I often find it helpful to imagine worst case conditions. In reality I doubt you would ever encounter a site as I described above but I think frame racking would be somewhere between a perfectly level site and a worst case site condition.
If I am looking at this wrong I am certainly interested in any counter views.
I read this a few times, as I have had a history of misreading posts...

OK, first off as far as stabilizing, no contest. Jacks do, wheel supports dont.
But on frame 'racking' or twisting, I dont feel the jacks are superior. Certainly more convenient! No question.
In your worst case, lets imagine an old paved slot. There are high spots under the drivers front, and passenger rear. Low spots happen to be under the drivers rear and passenger front.
As observed from the front to the back, the frame is absorbing a clockwise twist. And to make it worse, the entire slot is lower on the front than back.
We need numbers, and without pictures this could get eye-glazing complex.

So JUST for an example, lets say the high spots are 2" high, and the lows spots 2" low. The entire slot is lower by 3" in the front than the back.
So... our drivers rear needs 4" of block under it to make it level with the passenger rear. The passenger front needs 4" of block to be level with the driver front. BUT...
The front sill being low means both the front need an additional 3" of lift.
So this would result in Passenger rear with no block.
The drivers rear has a 4" block.
The Drivers front needs 3" of block to overcome the slope of the slot.
The passenger front now needs 7" of block. ( to overcome the 3" of slot slope, the 2" low spot under it, and the 2" high spot under the drivers front).
Now we have level. The wheels are all equally loaded, as they are all on the same height
when measured to the bottom of the tire. The coach is level. No frame twist, or racking.
To unload the opposing wheels, we would have to add even more blocks....But why would we? We have achieved 4 level spots under our tires, and so the coach is level.
The same would apply with the jacks. Lets assume auto leveling, so the computer does its thing, the jacks have enough travel, and the proper amount of lift is provided at the jack mounting points to make the coach level.
The difference is WHERE the force is applied to the frame.

The wheels are the designed point of weight support from the factory.
The rear distributes the forces through 4 points on the frame, as shown below. (2017 chassis, similar to all)

The forces enter the frame through the 4 leaf spring mounts. (red arrows)
The frame is braced against twisting due to uneven forces via the crossmembers. (blue arrows)
The yellow box shows the primary affected area, note how much bracing is in there. One can make a big "X" between the corners of that box, and the crossmembers inside contribute great torsional (Twisting) strength. 3 inside the box, one close by.
Now lets see how the jacks compare. They are mounted with two points of contact, indicated by the red arrows below. (as the instructions for my E350 showed, models may vary)

There is only one crossmember nearby, two others further away. There is no yellow box, as there is only two points of contact. You can see the torsional rigidity is much less. And the frame is taking an upward point load where it was not designed to, unlike the leaf spring mounts that are purpose designed for it.
Why is it designed like this?
The engineers for the frame started with a 'blank sheet' and could design around the points where the force enters. You can see they took full advantage of bracing, and allowing for a box around the fuel tank.
The engineers for the jacks are under MANY restraints. They have to use whatever space they find, and cant be cost competitive designing and adding more frame crossmembers. And there night be no room for them anyway. So they start with a considerable handicap trying to avoid putting twisting stresses on the frame that will be resisted by a crossmember. This results in a point load on the frame in a place that the original designers did not plan for.
Likewise with the front. (Ebay picture fo a 99-07 front half of a frame, I couldnt find a good factory pic that showed the front well) If you look at the factory pic above, the mounts just to the rear of the steering wheel are the two round holes by the green arrow below.

The 6 red arrows show where the forces enter the frame through the A arms and spring perch. Note the blue arrow - That crossmember is the beefiest on the entire chassis, and is designed to resist the torsional forces.
The green arrows show where the jacks put their point load onto the chassis. (again, from the instructions for my E350. Models may vary)
This is an area that was never designed to accept these forces, it is boxed but no crossmembers. AND... the body mount is above, and the frame was intended to only get 'downward' force. The jacks exert upward force here, and cause the frame to support the weight of the engine, transmission (partly) and wheels in a spot it was never intended to by the original designers.
So... I hope this clarifies why the jacks may cause unnatural bending and flexing in the chassis that wheel levelling blocks would not. The drawer binding is a good example of the result.
This flexing problem, and the added weight of the system, is why I chose not to add levelling jacks. Too 'high a price' for the convenience for me. May be fine for others, but understand the limitations of an add-on system.