I rent a 2 bed flat currently (and have lived in similar places most of my adult life, albeit they were flat shares when I was younger). A bath is a must for me, and I've ruled out places without them when looking to buy.
(Fwiw I'm in my late 30s, live alone and my second bedroom is my office.)
It's not just a kids thing. Baths are absolutely invaluable for pain management, particularly period pain - I wonder why more women don't say that-? As well as a general relax. Yes you can have a hot shower but you don't get that proper pain relief from wallowing in the warm water. I'm also a hiker, so they're great after a long, cold day on the hill.
In recent years I've become disabled and baths are useful for all kinds of other aches and pains - including migraines - and I wouldn't be without them now. Plus I have slightly reduced mobility (can't stand still for very long, although I can walk up steps) - so baths are actually much MORE accessible for me because I can lie down rather than getting all light-headed.
I think you could quite easily make that bathroom look less murdery once you've done it up and maybe put a mirror over the sink. The only reason to take the bath out, for me, would be a) if you're expecting people with more limited mobility (in which case, you might want to think about how easily you can actually manoeuvre into the room full stop) and b) dependent on the location of the toilet - personally I hate having to trek to another room to go to the loo before my bath/shower.
And yes, definitely a shower over the top. Very useful for rinsing your hair, having a quick shower in hot weather, and tbh I clean my bin by putting it in the tub and giving it a quick shower :D
I appreciate not everyone will agree though. None of my male friends seemed to ever use baths (though after I banged on about how great they were, some occasionally asked to come round and use mine!). I guess men don't get so much pain...