Hunting log is fine to do while waiting for fates. Leves are a total waste to use on DoW/M, when they can be used on DoH/L and W/M can fate for MUCH more xp - they are also incredibly repetitive, moreso than fates. Guildhestes are very low xp after the first. Dungeons are ATTROCIOUS xp for time spent, less than half of fate hunting - sometimes a quarter.

Fates also give tokens you need to upgrade your rankings and that buy amazing gear for leveling that you don't have to rely on RNG for, making them universally by far the best option in all aspects, once you have done all the quests.

Here is the issue, in a nutshell:
Fates are disproportionately more efficient in leveling jobs to the point that doing any other route is essentially SIGNIFICANTLY nerfing your efficiency. They are too good compared to any other option.