Nowhere in the FSM does it suggest using air pressure to TRY to hold the valves up during this procedure.

Why ? Two reasons... if you do not have PERFECT seal at the valve lip to head then you risk dropping the valve into the bore... one tiny piece of carbon, a slightly warped valve... BINGO... your worst self made nightmare... unless of course you were just looking for an excuse to take the engine apart.. Bonus mental image... if you really lose air pressure fast you will drop BOTH valves .... ( if you are unlucky enough to undo the bad one second ).

Reason Two... with 21 to 1 compression ration your piston is so close to the head that if you machine it at all you have to install thicker shims under the precombustion chambers to raise them so that the piston won't hit them..

Extra bonus reason.... if you put 100 psi into the cylinder you have 1200 lbs of force on the top of that piston... and you have no legit way of clamping that kind of force at the crank...
Actually at half stroke it is more than that due to the throw of the crank...