Oh my yes, it's so important to take one (but not in carryon luggage, LOL) on holiday, I can't tell you how many times we have arrived at a hotel/resort/air bnb to find that there isn't one in the suite or kitchen. That should be a staple for sure! Or even when we visit a few relatives who don't drink, of course they never have one on hand and we have had to go out and buy an overpriced flimsy wine opener from the grocery store (which usually breaks after a week, LOL).
Yeah, we just call them wine keys over here. I remember my first job waiting tables at an Italian restaurant; the owner tested potential servers by putting two wine openers next to each other on the table and asking which one they would use:
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If someone chose the one on the left, he would scowl and mutter something in Italian, then wave them away...