Unsane focus reintegration after(and only when) toggling from one window to another using only keyboard

I opened this as a caja bug but I think it's mostly related to the desktop's focus ability itself.

Also because this bug is pretty weird(and I've had it for many seasons/years(~18-24 months?) I have captured it on video.

When watching this video please remember that I am only using the keyboard. The only time that I used and clicked using the mouse pointer is at 1 second when I selected a file.

The sequence of keys pressed to make this happen was:
TIME:
00:01 - mouse clicked;
00:02 - up+down arrows (on a full-sized keyboard);
00:03 - enter;
00:04 - ALT+F4;
00:06 - F2;
00:07 - a bunch of letters followed by enter;
00:10 - CTRL+Z
Total video time: 12 seconds

Also pay attention to the change of "whiteness" when I clicked on the image at 1 second, this feels like it's sandboxing. And it's really doing that (as in: you can feel this change also at the user level). Also for this problem to get fixed you need to select a file again via click and the same "whiteness feeling" will show.

ProblemType: Bug
DistroRelease: Ubuntu 22.04
Package: caja 1.26.0-1ubuntu1
ProcVersionSignature: Ubuntu 5.15.0-40.43-generic 5.15.35
Uname: Linux 5.15.0-40-generic x86_64
NonfreeKernelModules: zfs zunicode zcommon znvpair zavl icp
ApportVersion: 2.20.11-0ubuntu82.1
Architecture: amd64
CasperMD5CheckResult: pass
CurrentDesktop: MATE
Date: Sun Jul 10 15:43:34 2022
InstallationDate: Installed on 2022-06-02 (38 days ago)
InstallationMedia: Ubuntu-MATE 22.04 LTS "Jammy Jellyfish" - Release amd64 (20220419)
SourcePackage: caja
UpgradeStatus: No upgrade log present (probably fresh install)