You haven't needed to in quite a while. Well, assuming you're on desktop? I guess I've never tried it on mobile. That feels like asking for trouble.
I ran Zoom in my Firefox desktop browser for a while, but it tended to overheat my laptop. Other things overheat it too, so I don't know how much was specific to Zoom on Firefox.
I just checked. Still gives me the option ("Join from browser" in a less highlighted option, trying to drive you to their native client I guess.)