I'm actually interested in seeing it, I liked Superman a lot more than most of the other superhero movies in the last few years, and much more than pretty much all of DC's output post Batman Trilogy/The Batman and pre gunnn.
The trailer has what is it, about 45 seconds of footage from what will be at a guess a 2 hour film, and it reminds of at least one of the comic versions of supergirl who was IIRC pretty messed up for a while by what had happened - Superman grew up with a family and knowing what happened to his home planet as basically history, supergirl (or this version of her) basically went from a normal girl on Krypton to seeing it destroyed along with pretty much everyone and everything she'd known, that's almost always going to mess someone up to some degree.
I remember people getting really upset over the stills and teaser for superman a year or so back.
I'm actually more likely to go see this at the cinema than the next marvel movie, which is a huge turnaround from when Snyder was in charge and it felt like everything was relentlessly grim and shot by candlelight

. I have nothing against dark/grim storylines (if I did, i'd have to change probably half my favourite books and films

), but some humour/light hearted moments not only make it more enjoyable, but push how grim it actually is, and a teen girl/early 20's who has lost everything is potentially pretty dark.