I have plenty of videos of these types of plays.
There are some really bad animations in the game when it comes to CPU fielding. And on routine plays at that. Catchers seem to be the worst.
(Too many) fielding animations are way too rushed and unrealistic. Just like you say, throwing off balance and just making tough plays way too cleanly and effortlessly.
My guess is that a couple years ago, a few people felt that the animations were too slow--fielders took their sweet time, or too many steps or glove pumps before making the plays, and personally I think the developers overcompensated. "Guess" being the key word there.