I have only been in one place where "rebase" is used regularly, and now that I'm a little more familiar with it, I don't mind using it to bring in changes from a parent branch into a working branch, if the working branch hasn't been pushed to origin. It still weirds me out somewhat, and I don't see why a simple merge can't just be the preferred way.-
I have, however, seen "squashing" regularly (and my current position uses it as well as rebasing) -- and I don't particularly like it, because sometimes I put in notes and trials that get "lost" as the task progresses, but nonetheless might be helpful for future work. While it's often standard to delete "squashed" branches, I cannot help but think that, for history-minded folks like me, a good compromise would be to "squash and keep" -- so that the individual commits don't pollute the parent branch, while the details are kept around for anyone needing to review them.
Having said that, I've never been in a position where I felt like I need to "forcibly" push for my preferences. I just figure I might as well just "go with the flow", even if a tiny bit of me dies every time I squash or rebase something, or delete a branch upon merging!