Primary issue at the college level is cost to the lower budget DI, DII, DIII, NAIA, and JUCO teams. The BBCOR composite bats are said to perform at the same level of wood bats. The transition to wood bats today is not as extreme as it once was when they were using aluminum/composite (BESR standard) bats at the NCAA level.
Adjustments to the type of ball are way less these days too after the NCAA lowered the seam height of the balls (reducing drag) several years ago. There are still slight differences between the balls used at the NCAA level, the low-minors, and MLB. Minor League baseballs are known to be a little softer than MLB balls, and have different seams as well. In 2019, AAA teams started to use baseballs that are held to the same standard as MLB baseballs to aid in the transition from the Minor Leagues to the MLB. The MLB ball is said to be slicker, harder to grip, harder and wound tighter (aiding in higher exit velocities). Many MLB pitchers claim that once they get used to the seams/feel of the MLB balls their pitches are sharper and move more than MiLB and NCAA balls (making pitches harder to hit).
I think most of the difficulty in transitioning to the next level comes more from the talent pool improving (way better pitching), limited spots on MLB rosters/no time restriction on service, and the amount of games played (fatigue).
Had to search for and dust off this article that I read a few years ago, but it is still a good (albeit old) read demonstrating past and important changes to the college game: