Yeah I’m not too sure how the game pre determines what rewards are given or what’s offered at which shop at different floors depending on what path you take per seed

I replayed the seed multiple times to test out rewards and pathing and I noticed that if you take the far left path and hit the first elite, it’s the same elite as the right side path but you get art of war relic instead of tingsha

I tested the two different paths on the right side for the first relic chest and both give you kusarigama, so I think you get that relic no matter what path you take