The creators of Amiga introduced them, and added hardware support to make it performant. The only thing which felt sluggish in an Amiga was the floppy disk.
Likely these creators understood the importance of overlapping, draggable, resizeable windows for the audience, and the audience indeed enjoyed them. Same thing with the classic Mac.
If you tried a tiling WM, you realize that it requires learning, tweaking, and discipline. Those are expensive qualities to require from users; one should ask for limited amounts of them.
To be fair, these things were computationally intensive at the time. The Amiga had a hardware blitter and very good color capabilities, so it could afford to show them off.