I had a 320c 45, and now have a first gen M&P 45. I do believe the small module on the 320 felt smaller than the 45 M&P with the small blackstrap. However, I can hold the M&P higher than the 320, so I shoot it a lot better.
I shoot a M&P 2.0 .45 full size and use the small grip, but just holding it without the strap on it feels like I can get the right grip. bigger hands and short fingers I guess.
Goldstar225 Go down to a gun shop and ask a to handle a m&p compact or full size and ask the sale person to remove the grip to see what size it is . If not small ask to get the box for it and try the small grip insert !! If they will not help you they a second class gun shop .