When trying to diagnose performance or memory issues with a browser, always start with the installed and enabled extensions.
I don't go to the home page, though, only access videos via search (using !yt on Kagi) and by clicking around related videos.
I don't see any memory issues that the OP is talking about, either. Maybe uBlock is fixing it for me?
Next up would be looking closer at the pages you frequent. I think many people would be surprised at all the ways web apps screw up these days.
All that said, the browsers, as unfair as it may seem, should do better at handling all of the slop that web app and extension developers put out there. It’s sometimes just a whole lot easier to make the browser more bulletproof than it is to make a bajillion JavaScript/python monkeys conscientious and competent.