[Betelgeuse]

I think that making more different possible relations won't hurt but rather be a benefit: it allows to indicate more relations as well as allows to more clear describe the relation.

Choosing your words for the relations wisely is what's most important. You must stay clear in what you mean.

In these relation titles I'd generally prefer reading 'concept' as alternative for 'franchise' and 'world' as alternative for 'universe'.

Though, if there is a 'comment' option for the relations then -if you still wish- we could stand back from making two different relation types for same franchise and same universe. This comment can be employed to clarify an already rather vague relation of 'the same franchise/universe', which might also prefer different words when different anime are concerned.


P.S. I'd prefer reading "spin-off from" instead of "original" and reading "alternative" instead of "original" when "alternative" is (also) on the other side of the relation. (I can imagine that maybe for the last "remake" resp. "remake of" is what's actually the case with the relation of the anime.)