Purely subjective reply on this from me but I listen to a lot of rock, punk and some metal and I think the Bathys sound great. Much better than any other bluetooth ANC that I've heard.
Some bands in those areas that I think sound great on the Bathys are:
Blood Command
Turnstile
Drug Church
Dinosaur Pileup
The Rolling Stones
Ghost
AC/DC
Slayer
Metallica
In This Moment
Idles
Though to be honest with you they do reveal the quality of the recordings quite a bit, and I'd argue that most rock and metal is not well recorded or mastered. I wouldn't say that they make poorly recorded music sound bad, but they have good detail and sense of space to highlight the differences in the better quality recordings. From that list above albums from Rolling Stones, ACDC, and Slayer sound above the rest, with generally better imaging, spatial presence, detail and presence to each instrumental. You also notice quite a few errors in the mixing and mastering process on some albums, for instance while I enjoy the band and their albums overall, Ghost's latest album (Impera) is a bit of a mess in places, with small instances of clipping on the guitars in various tracks that are noticable, or at least more noticable on the Bathys.
Moving away from that topic, I don't think these are good headphones for hiking and traveling in truth. While they have good build quality they have no IPX rating, they make no effort to deliberately waterproof the internals, so any rain would risk damaging the headphone. The case might be water proof, it's hard to tell, but given that it includes a lot of fabric it would hold a bit of water, not ideal if you're traveling.
I live in England and it rains all the time, and I wouldn't take them on long walks unless I was willing to take my backpack and case and the case takes a fair amount of space in a bag which you might not want on a hike. I think you're better off with something more robust if hiking and travelling are a primary use case. I feel anxious even taking them for a walk down to the corner shop in case it starts raining.