You can estimate the current demand of a speaker by looking at the specs. Impedance, phase and sensitivity combined with your peak listening volume and room size. A speaker only needs what it needs. Once you provide enough power, adding more reserve will not change the sound further, but speakers require a surprisingly high power during musical peaks and transients. Without enough current these will sound compressed and distorted. Most of us use amps that do not completely satisfy the speaker. My 92dB speakers dip to 4 ohms minimum, but they prefer 500+ watts to stay perfectly clear during high volume peaks. Unfortunately I prefer tubes, which get expensive when you pass the 100W mark.
A high current amp does not have a pile of extra current that it doesn't know what to do with. Current is only drawn when the load demands it based on the voltage sent. If something is limiting current then the amp will clip or distort. Sounds like the protection circuit was limiting power on the Belles. I heard a new Belles 150A amp last weekend and it was clear and powerful and loud on 85dB speakers, a really fine amp, no sign of strain or noise. I guess he got it sorted.