Made it out to a craft store. Picked up a rose, not glued.
They all had 4 petals instead of 3 though per layer.
Tried closing them by pulling through an aperture. Same issue as the 4 petal nylon version I made. They took like 15lbs of force to close.
Remodeled the original nylon rose petals to have 3 elements, increased the hub size, and added hinges.
Much better. A lot lower force to fold them. I was even able to heat form one of the petals.
So.. gonna try nylon again, this time with three petals per layer.