In Pop OS the windows can have two states. Stickied to a part of the screen with auto-tiling with other stickied windows or free floating. I would guess many Linux flavors can do something like that. To me the ideal solution was Spectacle for MacOS - key shortcuts for a window to take up the space of a predetermined space. I just don't think automatic tiling makes all that much sense unless you're building some kind of a dashboard.
Tiling web browsers is especially bad since I use a lot of websites that flip to mobile mode or are just plain unusable when tiled into the wrong shape.
For certain websites forcing them into their mobile version can be pretty useful, but it takes a bit of playing around to make everything work nicely together. I have a group of browser windows and a layout defined in stumpwm that includes gmail, spotify, and a few other sites that have good responsive design.
Tiling web browsers is especially bad since I use a lot of websites that flip to mobile mode or are just plain unusable when tiled into the wrong shape.