As a bitwise operator, xor is much faster than any other means to replace it. So for performance critical and scalable calculations, xor is imperative.
My subjective personal opinion: It is absolutely forbidden, for any purpose, to use equality (== or !=) for booleans. Using it shows lack of basic programming ethics and fundamentals. Anyone who gives you confused looks over ^ should be sent back to the basics of boolean algebra (I was tempted to write "to the rivers of belief" here :) ).