I use chromium with a 5760*1080 resolution, and I frequently have > 150 tabs open across 3 browser windows, and I really have no complaints. I also occasionally peruse or develop WebGL/ASM.js/emscripten applications, so I suppose I fit into your description as someone who is "pushing the web browser hard".

All functionality I need to access quickly is accessible through shortcuts, so I don't typically need to access the "hamburger-menu" very often. The only thing I really use it for is to open the settings tab.