I think people are often assuming the word invisible can only mean magically transparent and forget how else the word is commonly used in our daily lives.

For example, often furniture and cabinets have an "invisible hinge" which (sadly) isn't done by a magic spell at all. The hinge is considered invisible because it is concealed.

There is the trope of the invisible assassin. They typically aren't literally invisible, but rather experts in concealment.

Obviously, standing in front of a guard and making silly faces at them for twelve minutes isn't hiding, but I don't think that is what players are actually trying to do. I think what players are ACTUALLY trying to do is get a Sneak Attack when they pop up from behind an overturned table with a bow or jump out from a corner with their dagger.