Good reading Chiffe!
Let me just write few friendly remarks as my opinion.
The bike is leaned right over, the rider applies throttle and the resulting centrifugal force brings the bike upright.
I think centrifugal force absolute value does not change much. Yes, delta added speed results certain amount of added centrifugal force if we continue on same radius. In practice the dominant factor for bringing bike up is our countersteering (turning bars) what decreases the radius and naturally drives front wheel inwards. If we would log and look at centrifugal force data, then there is maybe only minor spike in data when "upwards roll" starts. From physics point of view the kinetic energy transfer "to stand up" and overcome gyro forces is initiated from tightening the radius a little, but now centrifugal absolute falls quickly from reduced lean and increased radius.
In addition, the rear drive chain is acting to try and extend the rear suspension by the nature of the relationship between the front drive sprocket,
the swingarm pivot point, and the rear sprocket. This adds additional pressure on the contact patch and helps move some of the bike weight forward.
I understand your first sentance. Here "extending the rear" (antisquat vectors) counteracts more weight on rear tire.
The second sentance is very problematic. Yes pressure is added on rear under acceleration (example all weight is on rear as front starts to lift).
Cannot comment what you mean by "add additional pressure", matter of wording.
End of sentance is incorrect, because it is not possible to move any weight forward (in bike as solid object) by pressures on tires or swingarm staying somewhat extended or compressed!
However I guess do understand why you said that. Bike tends to have less grip or/and wheelie more if swingam compresses much or too quickly (too much squat or little compression).
Again from physics point of view if road would be perfectly flat-even and swingarm statically compressed to bottom then actually forward drive is better because center of gravity is lower (given enough grip present to not spin the tire).
You agree that in real life it is better to have swingarm balanced somewhere between upper and mid stroke of the shock. This results rear wheel to stay in better contact over the waves and bumps resulting more grip. And what promotes wheelies is when swingarm (shock) lower too quickly (or too sudden throttle too) creating upwards angular momentum (less torque needed to lift the front).
That being said, the good suspention is very important, Sykes said in interview that rear shock is hugely important factor at race bike.