So, I think we may be stuck with "tape" as a synonym for "record," probably for decades to come.
Yes! And isn't it great?
Think of how barren English would be without the presence of archaic phrases - you'd not be able to bridle your enthusiasm, take a particular tack, or a million (OK, maybe a few hundred) other things. Languages change, but they have inertia, too. And I can't stress enough how good that is! I as a man of advanced years would sound particularly stupid using the vernacular of today's hipster, as both he or I would sound if either of us brought up phrases like "23 skidoo" or called a woman a "tomato", unless doing so in some ironic manner after viewing an ancient black and white film.
Or just look at it like what it is... Something that makes fuck all for sense, just like our fun, fun language.