Ugh dammit. Short version:

Instead of taking the branch <feature> and rebasing it, make a branch called <feature>.1 on top of <feature>, then rebase that, leaving <feature> in place.

That way all your references remain intact and you can compare CI results.

Increment the number as needed.

It solves the issue of the CI references. But it also seems a bit clumsy to me.

It's all trade-offs. The trade-off being that you maintain history by having copies of a branch around, while the dude trying to fix a bug doesn't have to break out the vodka bottle upon arriving back home. :)