Yes, Photoshop does have that, though you do it through Bridge or Lightroom instead of in the same app. (Bridge is a companion app to Photoshop in all its versions, and Lightroom is bundled with it in most Creative Cloud plans.)
Lightroom is famous for not being super-fast in image import, so you might not find it fit for purpose. It has a bunch of compensating value that makes putting up with this worthwhile for many of us. I’ve tried a few of the alternatives that claim to be Lightroom killers, and they weren’t even close on several key measures.
The latest one I tried couldn’t do hierarchical keyword management and would reliably crash every hour or so, for example.
> they should adopt standard browser zoom shortcuts
Ah, irony; browsers got those shortcuts from Photoshop! Early browsers didn’t have those features at all. It was probably the Mac browsers that made this a standard, since Mac apps more reliably support those shortcuts, since Photoshop and MacOS have such a long and close shared history.
(Okay, the shifted variants aren’t in Photoshop, but the other three are.)