A seat is extraordinarily dynamic. So, I'm not surprised that it wasn't glued in the back, with the expectation that the rods would float a bit as weight shifted, perhaps on both ends.
That is an odd two layer construction on the nose, but probably with the concept of not putting a hard lump at the nose end of the saddle. That is a unique hanging cradle design.
I've broken a direct Chinese import saddle once, a few years ago.
Mine failed because it had a glob of non-reinforced, but brittle goop holding the end on. No fiber reinforcing at the critical point. I think the rails at the rear were still fixed to the saddle, and I was able to carefully ride mine home about 5 to 10 miles.
In your case, I'd probably reinforce that cradle area a bit. Then slide everything together and expoxy the nose piece onto the cradle. Perhaps even wrap around the nose piece a few times (tubular/sock carbon fiber?)