I don't think it would work like that. As I understand it the hardener catalyzes a reaction in the other components of the resin/putty and causes them to harden so it would only result in a hard star if your star also contained the a decent amount of the putty which is generally non-flammable.my thought was as a hardener it might be interesting with a organic fuel and a salt for color. could be a nice hard star.
It might be interesting for some chemistry stuff, but I don't think it is particularly useful for pyro.