Sometimes there're lots of different sessions opened in own terminal's tabs and it's rather desirable to have theirs initial titles (named by session name) locked since local title tweaks make those sessions indistinguishable. It's obvious that controlling all the bits and pieces of remote software running is too wide task to be accomplished in reality, so the most suitable way would be setting a knob prohibiting any further changes to a title. I doubt there's such a knob, but who knows?
According to this list of terminal directives (for various terminals, including X terminal emulators), no terminal directive supplies this exact feature (a shame).
In the unlikely case you're using
There may be hacks/kludges to fix the issue at the far end, but there'd be quite a bid of ad-hockery involved, and there isn't one catch-all solution.