My experience with that is it usually never works, and for whatever reason the games never seem compelling. Not sure why, flash games never had that problem. They were always full games with rich graphics and often a story.

I literally tried to pull up itch while tablet shopping yesterday - the site never rendered on the tablets and the one game I tried about crashed the whole tablet. Audio/video worked fine. I'm sure if I sat down at a high powered beefy windows desktop maybe they'd work - I remember flash working great on 1GHz celeron processors with maybe 1 or 2 GB of memory and windows 95. Html games are still a bunch of nonsense, on average.

I just pulled up "Farmers Stealing Tanks" on my BlackBerry KeyOne and played for a minute. It was playable (though not perfect), and that's on a 5 year old phone with a chipset that emphasized battery life over performance.

Some games can be iffy, but I haven't really had any major problems with the site. My computer is from 2015, so not exactly high-end.

You could also install the desktop client, then you can play all the games easily (including the non-web-based ones).

I'm partial to this one: https://leef6010.itch.io/projectkat

Interestingly, it appears a great many of those are unity games and won't run on phones.