So, Bront, in a hot country on a hot day, when there is no ice at all, no restriction to the intake, why is the pressure low enough, in your mind, to cause a stall? And why does low pressure cause a stall?
The blockage is at the back of the compressor, where too much air is jammed up and trying to get through to the combustion chamber, the flow is slowed and the angle of attack gets too high, and flow breaks down over the surface of a compressor wheel. The breakdown can spread forward over the wheels, and in the worst case the airflow blasts back out the front, in a surge. This can be very serious, bending compressor wheels and maybe causing the engine to fail.
Open a bleed valve for a heater or some anti-ice, anything to take away some of the excess high-pressure air.
If, as you surmise, there was TOO LITTLE pressure at the compressor causing the problem, opening a bleed valve would make the problem worse, n'est-ce pas?
Sassy, the old T-53 bleed bands would open and close according to acceleration schedules, and caused problems if it stayed open (from start) making it impossible to get full power, or stayed closed, causing slow acceleration and popping.