Clarification??
I'm sorry,
I'm not following the last two posts? Don't heat treat it because it will become more brittle? Or you might break it?
Technically , the part is already broken. Isn't it? It's non functional so it's broke. Or maybe your position is it's almost broke don't make it worse by fixing it? LOL.
I haven't counted how many parts I have welded which is another term for heat treating. Different degrees of weld depend on the specific damage to the part in question. An example is a blacksmith achieves high enough temperature to pound red hot metal together. That is a form of welding or heat treating iron that is very strong!
This part in question is low grade spring steel so it's already brittle by temper. It's very likely cracked already so heat is the simplest and fastest solution.
Or you can cut, channel, and pin a new piece of spring steel to the back of the part. That would work extremely well, in fact better than this original early design, but that procedure is time consuming. In fact, many manufacturers originally used this superior technique. My made in USA needle nose pliers have been to see the elephant more than once. See photos.
So in your case I would reach out to a knowledgeable welder / gunsmith and explain what the part is and have him/her make the repair.
Murph