Not trying to dis the 8.1; I love Chevy big blocks and it's actually a swap I thought about in the past when I hadn't got used to the idea of LS swaps. I'm still not 100% on them as I've seen too many badly-done ones including that LS1-swapped Suburban I got rid of recently. I personally don't have the time or space to pull a swap off myself right now so I can't do justice to one.
The 8.1 has its issues besides being thirsty. The early years (01-03 or so) suffer from high oil consumption, but a member on 3500HD seems to have figured out the likely cause. While he was rebuilding one of his early 8.1's he noticed a vent in the underside of the intake that goes into the lifter valley, aims straight down. Compared to a later unit which has an angle. He carefully bent the straight one so it had a bit of an angle and no more oil consumption. Mind you it could be a coincidence, also may be that the original rings or something weren't fitted properly, or who knows.
I don't have first-hand experience with the 01-02 3500HD's that came with 8.1's but I think they both came with 4L80E's. I think transplanting into a regular GMT400 (non-3500HD) you'd have a hard time shoehorning an Allison in there unless you did trans tunnel surgery or had a body lift. It is correct though that these 2 years of HD's did offer the 8.1, it was either that or you got the 6.5TD. Only 2 engine options those years, no more 7.4.
Richard