I have both saddles. I am around 200lbs. I find that even at my weight I have no bounce on the flyer unless I hit something major. I like them both. The flyer is on a longtail bike I have with a very upright riding position. The b17 is on a bike with bars right at my saddle height. It would use the flyer if you have bars above the saddle a good distance. b17 if you don't. The frame of the flyer is major and yes, heavy. I appreciate what it offers. It isn't a cheap flexible spring that you see on many recreational saddles. It will give when you need it to give. Otherwise it will feel solid and won't bounce you around as you pedal. I have a friend who was choosing btwn the 2 and he is around 140lbs. He said he couldn't feel the difference btwn the 2 at all when he tested them. I think rider weight and riding position have a major effect when choosing btwn these two saddles.
If you're 125, I think you are going to end up on the b17.... save the weight and bring more food!