I actually think those speakers would have their horns blown easily on a steady diet of compressed rock music even at levels not overly loud.
The diver of those horns now seems to be a small rather miserable tweeter in the mouth of a horn. This does not look remotely like a pro diaphragm compression driver.
The crossover is at 1400 HZ, far too low for a driver of that size and type.
So the power going to that small driver is going to be enormous, with a lot of power down as low as 700 Hz.
That is not a unit I would want to feed a diet of loud rock music to at all.
I see there are numerous outfits that seem to be doing a brisk trade in parts for those horns and I'm not surprised.
After repair I would say the OP needs to turn down the volume significantly, or else learn how to replace the diaphragms and keep lots of spares handy.
Yet another example of how the mighty have fallen.
The major problem here is very poor speaker design.