Stefan
I totally "get it" -- basically you want it to work like you expect it to work.  Unfortunately, so did the original author! as does everyone else!  Maybe Inter-View mode would be an option to consider.  It does say in the manual:
There is a second usage of Inter-View mode that can be helpful if some tracks have become misaligned, such as in the case of 2 audio channels no longer being in sync. You can use this mode to get them back in alignment.

On Wed, Oct 4, 2023 at 4:24 AM Stefan de Konink <stefan@konink.de> wrote:
On Wednesday, October 4, 2023 12:19:07 PM CEST, Andrew Randrianasulu wrote:
> I sadly have no simple idea how to implement immovable group
> .... because everything else on timeline must respect this.

There are other things like labels which also have rather "unpredictable"
behavior. It is not that it is not predictable, it is just not intuitive.
And my guess is, that is all is caused by how Cinelerra handles this global
timeline. When I paste something as b-roll, I don't want my labels, to
move. But once I change my master-track it should follow that specific
asset (and not just the time).

--
Stefan