If I disconnect wire from air comp (a/c), will the clutch remain disengaged?

What is your question?

My daughter has a 2003 Chevy Cavalier and the a/c compressor is starting to fail (rear bearing). I don't want to spend a lot of money - The car only needs to last her another year or so. In order to run the defogger, the a/c comes on - I would like to just disconnect the compressor so she has a defogger this winter. Everything is OK as long as the compressor clutch remains disengaged. I'm virtually sure that the "disconnect mode" would be disengaged, but I want to be 100% certain because I don't want her getting stranded on her way back to college.