We use SVN at work and it's a nightmare there too, "mine" and "theirs" and whatnot. I frequently end up looking at historical versions just to verify which is which.
If I have a merge conflict I typically have to be very conscious about what was done in both versions, to make sure the combination works.
I wish for "working copy" and "from commit 1234 (branch xyz)" or something informative, rather than confusing catch-all terms.