Not if mayonnaise is defined--as it currently seems to be--as a product with egg in it. That's sort of the crux of the matter, when we say "mayo" we mean the t

Not if mayonnaise is defined--as it currently seems to be--as a product with egg in it. That's sort of the crux of the matter, when we say "mayo" we mean the thing with egg in it, not anything that resembles the thing with egg in it. If you'd like to say, "let's stop defining mayo as the thing with egg in it," then maybe that's a discussion worth having, but it's a different issue than just, "can't we call this other thing that isn't mayo, mayo?"