How silly would it be to get breast reduction surgery before bariatric surgery?

When I (25F) lose and gain weight my breasts remain the same size. My mom, who is a nurse, is afraid that if I get breast reduction before bariatric surgery my skin will sag and the results will not look good. My thing I'd that I am only 240 lbs and don't think I will have extreme skin sagging.

My problem is that this is the last year I'm on my insurance that covers my breast reduction. I'm still in college and don't have my big girl job with insurance yet and I have no idea if it will be covered on my future insurance or not. My bariatric surgery isn't covered either way so I will have to either pay out of pocket or wait for my insurance from my big girl job to pay for it. Help!