By the way, are the classic lemmings skill glitches been carried forward?
Good question. It can be a bit of pain to check though since Classic Tribe isn't available in Practice.
However, it's already known that at least some stuff work differently in Lemmings 2. For example, if you make a digger dig on steel, he will actually try to dig down once (removing no terrain in the process) and then he'll stop, whereas in Lemmings 1 you won't even be able to make the skill assignment if the lemming is on steel (except in rare cases involving specific glitches).
Another thing to keep in mind is that at least on the DOS and Amiga versions, unlike Lemmings 1, you don't have the "select walker only", nor the "highlight and track a particular lemming" ability that you found in ports of Lemmings 2 like SNES. So for example, I still haven't even been able to achieve the setup where you have a lemming start digging on steel while within a blocker field, because the game keeps prioritizing the skill assigment to the non-walker.
Finally, some Lemmings-2 specific behaviors occur even in Classic Tribe. For example, in Lemmings 2, a walker that's stuck or near-stuck will automatically start crawling upwards.
I would guess that a few glitches will probably carry over while others won't. It'll take a little time to find out which ones. Once the Lemmings 2 editor is available, it would be a lot easier to test out these sorts of things.