Yep, any training helps with muscle memory, trigger control, follow through, and what it comes down to is "TRIGGER TIME" which is essential. You basically begin to learn what works for you and what doesn't.
When I won the AZPRC long range steel series, in 2011 and 2012, from 300Y to 1450Y, a guy came up and asked me what my secret was. I replied, I practice and compete with PCP airguns and have been for many years. He had that "smashed cat on the highway" expression on his face, seriously he did, lol. I went on to explain how everything except recoil control crossed over from firearms to airguns and visa versa. Especially learning wind effects and not being intimidated how far out to aim for it when that's what's needed. Of course I also practiced with my long range tactical rifle too but I had an excellent foundation via airguns.
This happened with pistol too except backwards. I was always a good centerfire pistol shot in speed events, getting as far as B stock world champion at the American Handgunner World Shootoff. When I bought my Steyr LP5 semi auto I was able to hone my level of precision much higher with it. Instead of just head shots on USPSA targets I had learned that A's in the head were not hard anymore with my centerfire, though it does take slowing down a tad to do so which doesn't do a guy much good in USPSA games. It definitely pays off when there's hard cover and hostages everywhere on a stage!!!
Fun series Michael! Keep up the good work.