Look carefully at the winds of the springs and where the end of the hammer spring legs are resting.
On the hammer, confirm that the J spring is not sticking out the bottom of the hammer, and binding up on the front void of the receiver cavity.
With the trigger pulled back, work the hammer full range and confirm that the bottom lob of the hammer is not making contract with the front of the trigger, and it too slowing down the hammer stroke as well. Also. confirm that you have lubed the FCG including the pins and that both the hammer and trigger both move freely on the pins.
Firing pin protrusion for 223/5.56 nato is .032 to .037 for in spec when the FP is maxed inward on the back of the bolt. You can use the tail end of any caliper to check the protrusion. Harbor freights sells both dial and digital calipers for under $20 and will find uses for it beside this project alone.
As for the 22lr kit, what brand and has it been polished????
With the problem on both the kit and in 223, I leads me to believe that the problem is hammer speed, but could be a bit of something else going on here, such at both the 223 and 22lr not locking up correctly, and the problem at hand (read poly coated ammo or the rifle not being cleaned/lubed correctly for such, and the kit not polished and having problems on it's own independent problems of it own.