I've a slightly different view than skeetex - as follows:
1 & 2. In the '20's of '30's, as I recall and have not been able to relocate the report, Remington determined that choke increased velocity at about 1 fps per 0.001" of constriction. So, a choke of 0.040" (real full) should increase MV by 40 fps over a cyl bore with all other variables held constant. If you were sensitive to recoil, you might feel a velocity increase of that amount. The "squeezing down," which seems to imply increasing pressure within the shot swarm, isn't actually a squeeze, rather the the shot accelerates as it enters the choke so as to maintain mass flow rate in the reducing area of the constricting choke. The increase in velocity is at the expense of reducing internal pressure within the shot swarm.
3. Any change in felt recoil would be due to changes in acceleration or muzzle velocity of the shot swarm. The increase in bore diameter will reduce the gas pressure on the wad base and allow the wad base skirt to flare slightly to a larger diameter, increasing its area. If the reduction of pressure and increase of area are equal by percentage, there will be no velocity change.
Post back if any of this is not clear.
DDA