I think for the "full web experience" these days you need too much horsepower (classics will never be great web machines) and there's so much that'll never be compatible with AmigaOS. Even a great browser would be somewhat crippled by things like lack of Flash (unfortunately.) I've got a dual G5 PowerMac that has a somewhat well-supported browser (TenFourFox) and I get better performance with a $10 thrift store quad-core Atom machine with Chrome/Edge.
For fun? Why not. But when I actually need to use the web to get things done there's no beating a mainstream, current browser.