I don't think so. Remember, Q is not necessarily male, so he's actually pretty clueless about what females really want (even Q females). He always made Picard work for whatever help Q gave him, so why shouldn't Janeway have to work for it, too? After all, she is also of the same species as Picard and although she wasn't given the "thou art directed to return to thine own Solar System immediately" line, she's still "on trial" along with the rest of humanity, just as Picard always was.