The bunny... it haunts me...
Seriously though, the caret is rather well known as a mathematical operator. The fact that it's also well known in its use a a logical operator makes this the difficult part.
If anything, I think the issue might even center around which would be used more in ash, raising a number to a power (used primarily for librams as was pointed out) or an XOR operator. I honestly can't think of a scenario where it would be important to, say, have one item or another, but absolutely not both.