I've had this line used on me by
former girlfriends. I came up with a stock response to it:
"If you loved me you'd retract that last sentence completely, then just ask me to do (insert what they wanted here) without that insulting restriction. If it's something I can do for you, I normally would, so why act as if my love depends on (insert what they wanted here)?"
My wife of 14 years has never used this line on me. If a person feels that their SO's love depends on some non-related action, it's time for that SO to find a new relationship.