There's a bunch of VR games/apps that are notable for fitness. Beat Saber is the most well known one that's explicitly a game, Supernatural is maybe the most famous one that's framed as more of a fitness app/service.
But other notable ones include Synth Riders, FitXR, OhShape, Pistol Whip, Thrill of the Fight, and (maybe) Gorilla Tag. And this list is far from exhaustive.
VR is pretty good for fitness just because it can make exercising more interesting, comparable to sports without the need to coordinate with other people (and it's easy to do inside your house, if you have at least a 2m x 2m open space). Major downsides would be having that space available and sweat inside the headset.
That's not really an issue imo, the downside is mostly just getting part of the headset gross (you don't want to use it right after someone else has sweated up a storm in there, believe me).
You don't need to worry with most headsets (don't know about AVP). I've been sweating in VR headsets for years and it never did any harm. I saw in the AVP reviews that it has a removable and swappable facial interface, so it should be easy to clean; the same is true of other modern headsets, and before that you had third party face covers or disposable absorbant stickers you could put on the facial interface to keep the sweat away.
Meta (and many third-party manufacturers) offer a wipe-clean silicone facial interface designed for fitness-oriented users. The hardware isn't waterproof, but it's quite well protected and I'd be perfectly confident to work up a sweat. Quest has calorie tracking, can sync with the fitness tracking features on iOS and Android and can pair with heart rate monitors. Fitness is one of the key segments in VR, because fitness apps and fitness-oriented users have vastly above-average engagement and retention rates.
I think the discomfort of sweaty eyes is a much bigger problem than damaging the device. It's extremely easy toake the device sweatproof compared to fixing the sweaty eyes issue.
used a Quest 2 for 2 years, and I sweat a lot when doing intensive exercises. No issue so far. And it is $300, cheaper than the base iPad. What else can you ask for.
But other notable ones include Synth Riders, FitXR, OhShape, Pistol Whip, Thrill of the Fight, and (maybe) Gorilla Tag. And this list is far from exhaustive.
VR is pretty good for fitness just because it can make exercising more interesting, comparable to sports without the need to coordinate with other people (and it's easy to do inside your house, if you have at least a 2m x 2m open space). Major downsides would be having that space available and sweat inside the headset.