Always got the sense he was a bit of a me-first type of guy who wasn’t one of his teams more popular players, hence why he always seemed expendable. I’m pretty sure that’s why the Habs traded him and that rep sort of stuck with him. I don’t think any of his teams regretted trading him away.
I can only comment on this for the Kings, but bolded the is only true for Los Angeles because they had a similar younger defenseman in Lubomir Visnovsky in the system already, and they got a very solid return, at least on paper, for what was at the time a 33 year-old defenseman.
The Kings got a 1st round pick, 2nd round pick, Sean Avery as well as Maxim Kuznetsov, a former 1st rounder for him when they moved him to Detroit at the deadline in 2003, which is a very reasonable return for a guy at that stage in his career. And ya, the first rounder they used on Jeff Tambellini, which is a horrible miss in a loaded 03 draft class, and the 2nd rounder also whiffed. But that's not Schneider's fault obviously.
LA had three first round picks that year and took Brown at 13, Brian Boyle at 26 and then Tambellini immediately after at 27. Corey Perry got taken at 28... the mind reels at having prime Brown and Perry on the same team but alas...
So none of those players amounted to much of anything for LA, but that's more a failing of their scouting department than a knock on the return Dave Taylor got for Schneider.
I really liked Schneider with Los Angeles. He filled a big void in the post-Blake years and he played a big role in the Kings knocking off the Red Wings in 2001. And just as far as immediate impact of losing Schneider, the 2002-03 Kings went 5-10-2-3 after moving Schneider the deadline, a 37.5% points percentage vs. 49.2% in the 65 games before. Trading Bryan Smolinski didn't help with that either though.
Steve Duschene is a similar contemporary player but I definitely prefer Schneider to him.