I have a few small issues with playing some of the races. It doesn't stop me from playing them, but it does sometimes give me pause.
I've got quibbly responses to all your points, but I don't think they'd add to any discussion, except for with tieflings.
I love playing a tiefling in bg3 for exactly the reasons you mention. It gives substantial motivation to wanting to help them.
As for the state of them, hoping and begging and pleading I can make this point without it being taken politically or getting political responses, compare them to refugees from Venezuela, Honduras, etc. traveling often in large part on foot, to the USA. Is the journey as fraught as the tieflings'? I have no idea, but it's certainly no cakewalk, but for those folks, cats and laundry etc are very much the things they want to be worrying about, and I assume do focus on when there's respite during the journey.
I completely agree that I find myself wanting to help the tieflings so much when I'm also a tiefling. (Although I generally want to help them anyway, being a tiefling makes it feel more personal, somehow.)
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And I take your point about refugees needing to do laundry, but I would argue that this is different.
Specifically, they've not just been running. They've had to fight. They've been attacked by gnolls on the road. Monsters have been attacking the grove while they've been defending from the gate. Before all of that, they were literally in hell, and I don't imagine that didn't come without some fighting.
When Zevlor says, "We're no fighters," I find myself thinking, weren't you a hell rider? And haven't plenty of the folks here been in fights before? Why isn't there at least a portion of the tieflings who are now deadly and jaded?