Could you do this quest in season 5. It says reset 5 times within a season. Could you get to that step, wait, then in season 5 go hard in the crucible and complete that step? I'm just guessing. I don't know if this quest carries between seasons.
I don’t think it’s tied to a specific season going forward, as it states within a single season, not just season 4, but you know bungo! they could just take it out next season