I've seen more broken bolts than I care to think about. I finally cured myself of EZ-Outs. I threw away every single one I had.
If you can find some ancient Vermont's or Cleveland's, maybe. But good quality EZ-Outs aren't made today, and haven't been for at least 20 or 30 years.
It's bad enough to deal with a broken fastener, but it's about ten times as bad to deal with it after the EZ_out breaks. Now I have a broken bolt with a piece of hardened carbon steel embedded in it and I have to sacrifice a carbide end mill too.
Best first attempt is to Tig weld another bolt to the broken one, let it cool and try to ease it out with a wrench. If it breaks off you are only back where you started. The heat will help break free the fastener.
No Tig welder available, make a spot on the broken fastener that will grab a center punch. Meaning take a chisel or a die grinder and make a step or a slot. Then striking from an angle, use the center punch and hammer and tap it in the direction to unscrew. That usually works, it's kind of a slow-speed impact wrench. Also good when the head of a screw is stripped.
That doesn't work, I do it the hard way. Put it on a machine and carefully pick up the center of the hole, then plunge out the minor diameter with an end mill and carefully pick out the threads. Then chase it with a hand tap to clean out the threads.
Bugger up the threads, it's not the end of the world, drill it out and use a heli-coil.