Changing window-scale via commands should keep the video centered

Before requesting a new feature make sure it hasn't been requested yet.
https://github.com/mpv-player/mpv/labels/meta%3Afeature-request

Expected behavior of the wanted feature

When I set window-scale using bindings written in input.conf, the video window is not centered after that which is very annoying since I'll always center the window manually after I set window-scale.

There is an issue https://github.com/mpv-player/mpv/issues/3164 with the same feature request, but it is requested for Windows, it was solved by modifying the code of mpv, but only for Windows platform, a feature shouldn't be working only on one platform not on others unless it is impossible or not worth the time.

It is suggested that I should open a new issue at that issue page, so I open this feature request for both macOS and Linux, although I'm only using Linux.

BTW:

• mpv version

$ mpv -v
mpv 0.33.0-dirty Copyright © 2000-2020 mpv/MPlayer/mplayer2 projects
built on UNKNOWN
FFmpeg library versions:
libavutil       56.51.100
libavcodec      58.91.100
libavformat     58.45.100
libswscale      5.7.100
libavfilter     7.85.100
libswresample   3.7.100
FFmpeg version: n4.3.1

• Linux Distribution and Version

$ uname -a
Linux chz 5.9.16-1-MANJARO #1 SMP PREEMPT Mon Dec 21 22:00:46 UTC 2020 x86_64 GNU/Linux

Manjaro-Linux Cinnamon DE

• Source of the mpv binary

Manjaro repo

• If known which version of mpv introduced the problem
• Window Manager and version

DE: Cinnamon 4.8.6
WM: muffin 4.8.1

• GPU driver and version

Nvidia
linux59-nvidia 460.39

Alternative behavior of the wanted feature

Log file

steps:

• mpv --log-file=~/mpv2.log file.mpv`
• Alt+3 to window-scale 1.5
• Alt+1 to window-scale 0.5
• q to quit

mpv2.log

The issue names no source file or test. Start by reproducing the reported input.conf steps with window-scale 1.5 and 0.5 on Linux or macOS, then trace the window-scale command and platform window-management paths. Done means changing window-scale through bindings leaves the video window centered.