@Vlad I realized that without a new video you might not get clear what's happening so here it is.
Look at the first two tabs of the news section, they switch places. I've done another test (not recorded) where the third and fourth pinned tabs switched placed.
In general it's a lot better, most icons stay in their position, but the underlying problem is not fixed completely.
I've been thinking if the speed with which I activate the tabs and close the browser prevents the data to be written correctly to the preference file but it also happens in regular (slower) use. I've also considered a corrupt profile, but I've tried this with many clean profiles and the problem keeps occurring. Hopefully some new insights come up! Best of luck with it.