With it you can hold Shift when moving a window, and the window will snap to a predefined grid. There are also other nice tools, like a Color picker when you press Win+C.
On Windows, you can double click at top/bottom edge of window to vertically maximize
On Windows you now have FancyZones, part of the Windows power pack thing Microsoft provides on Github, which allows you to draw areas you can snap windows into. Windows 11 even has some common window layouts built right in.
More traditional Linux desktops (like MATE) will probably try to avoid this paradigm, as they're more about sticking to what works than experimenting with new stuff. However, I think I see a trend where some sort of tiling is becoming part of more and more desktop environments.
It splits your screen space into a configurably dense grid (I use it at 16x9 cells, for example, so they're roughly square), and you can position windows on it using mouse gestures.
Start dragging a window, move your mouse to where you want one of the corners to be, hold right click, and drag it where you want it to fit to.
It's basically a manual tiling WM, but it's quite useful.
Here's a tiny example of the usage: https://www.youtube.com/watch?v=8ziWVGyjwdw
For starters I have just adjusted my MATE desktop to vertically maximise the window on double clicking the titlebar.