In the case of idiot lights, boiling over qualifies as overheating. When the light comes on, it's hot.
Operating temperature is about 210°, and when the gauge indicates what's probably about 250°, I can touch the hose and feel boiling coolant, especially if I shut it off. I prefer to run the heater in this case and increase rpm so as to cool it down quickly, which works most of the time even with a faulty cap flange. This is pretty inconvenient to do, especially on long trips through the desert, so I'm going to solve it before it happens again by paying a little more for a better radiator.
1st one was bad out of the box. 2nd lasted a year. 3rd is going to be given away before the usual problem develops along with the lifetime warranty info. If your problem persists after your injector swap, you might reconsider it.