They don't resent her or anything of that sort, I have never found an npc that says something negative about her. As far as inazumans know, Takayuki deceived their archon and he'll be rightfully punished, they don't know the things the player knows. Even during the war I think the npcs just didn't understand why the Raiden Shogun was allowing the war but wanted her to make her reconsider the decrees, they didn't hold any grudge even at that time. I my opinion it's because the archon in inazuma is a permanent and unquestionable existence, they would never think she's wrong in what she does and she's more deeply a symbol of hope. (im not saying hoyo wrote it right, but that's what it is to me)

The only ones who have been shown to resent the Raiden Shogun alongside the shogunate are watatsumi soldiers (from kokomi's sq and I think there is a npc that expresses resentmen) but most of the npcs in the area are just relieved that there is no war anymore.

I think if there is eventually a major war where inazuma is involved, it would be the same as when the Cataclysm happened, so there wouldn't be a problem between the archon and her people. And hoyo is speedrunning the reconciliation between watatsumi and narukami, so like Yae said they'd support the Raiden Shogun too most likely. At least one npc acknowledges they were disrespecting orobashi's remains and the yashiro commission has good relations with sangonomiya, plus the peace talks and kokomi's iniciative to reduce tension among her troops.. seems it'll be ok

I might have missed npcs tho, it's been a while since I went around checking and I'm biased with inazuma so maybe I missed something in an event or something like that (if I did I do would like to be told bc it would make the stoty a lot more interesting 😭)