Personally, it doesn’t bother me, since Star Wars is the name of the franchise now and saying “the original Star Wars film” every time is just clunky. But I did grow up with there being six Star Wars movies already… The name ANH predates the Special Editions considerably so I don’t see a reason to associate it specifically with the SE.

I also call the 60s series “Star Trek” “Star Trek: The Original Series” for similar reasons.