Pre-programmed performance?

So I have three players picked up on weekends over the last 6 weeks that are 420max blue xp players.  After each having a few thousand at bats, I looked at their stats and was surprised to find that their batting average ranged from .416-.424 and their homers/AB ratio was 10.1-10.4.  Their ratings are somewhat similar, but this is a tight statistical grouping even with that considered.  I'm not calling conspiracy, only that to a degree with the new this year bonus player rating parity (everyone 360, all primes for a week at 435, etc) that there might be a parity in performance expectation as well?  That being said I have two labor day 360 players who are .100 apart in batting average, so maybe just talking out of boredom here.