Wuk actually makes sense for the Alexandria part of MSQ if you consider that the intent was probably to pit two different rulers against one another and show how different their approaches/priorities were. Unfortunately, instead of using this as a moment to show Wuk's growth into a becoming a leader that understands that sometimes when you hit a threshold with an opposing force you have to do what needs to be done, she instead remains a weird clinging desperate bestie to Sphene (who does not appear to feel as strongly for her at all) and even right up til the end has her arms extended trying to make unrealistic peace with an entity actively trying to atomize everyone. The WoL has had their fair share of sympathetic enemies, but even they know when you hit a point where civility ends and that enemy needs to get smacked down.
Devil's advocate here, but Tural was overall pretty far removed from many events we had in prior expansions. We weren't aware of anything that happened in Tural, so I'm pretty forgiving that they weren't really aware of what happened in Eorzea. Similarly, if you examine what our role was in a lot of quests, we were really just kind of following around Wuk like some entourage, so only a very small number of people got a chance to see the WoL doing anything specifically outstanding.
Also, despite some crazy achievements on our side of the world, it's still established that even in Eorzea there are some people that still might not know who we are, by face at least. Like they've heard of the WoL, but it's almost like tall tales that get passed around and they're not exactly passing around our photos when they talk about this mythical hero, so like any game of telephone sometimes details get blurred.
Eh, I definitely got the vibe that the WoL was not fighting 100% against Galool Ja ja and it was more of a sparring match to evaluate him. I thought there was even a dialogue option that I picked that essentially said they weren't fighting to injure or something. Felt akin to Goku sparring someone with weighted clothing.