Intermediate (hopefully the nnnl version too) should definitely be in the regular league, and since there's nnnl, I don't think it ever really needed its own league here. If people aren't sure about playing it bo1, using cave maps every time works out well for minimizing double kills at the start.
I really have no idea what free league is though, seems kinda superfluous whatever it is. The fewer leagues the better, just an elite league and just an all-round league would work fine. And I wouldn't expect much activity for rotated league, though I do support leagues geared towards individual schemes, because they're very skill-enhancing and competitive. Just that some schemes are quite popular and others aren't, I doubt a RL would be worthwhile on the whole.