Which branch your work was done on is noise, not signal. There is absolutely zero signal lost by rebasing, and it prunes a lot of noise. If your branch somehow carries information, that information should be in your commit message.

I disagree, without this info, I can't easily tell if any commit is part of a feature or is a simple hotfix. I need to rely on the commiter to include the info in the commit message, which is almost always not the case.