I don't really see that happening. Swayze was a one-hit wonder on the charts, and while he was a decent singer, the song just wasn't really all that great. He was better known for movies and television, and that is where he is being remembered. The Barbara Walters interview with him from earlier this year is being reaired tonight.
I will say, however, that "She's Like the Wind" seemed to be in light to medium rotation on my local AC station, and I look for that to continue.