Just to be clear, 90-93dB is a moderate efficiency.
The problem you run into with moderate to lower efficiency speakers (less than 89dB) is something called 'thermal compression'. This is the tendency for the voice coil to heat up dynamically on peaks, which limits power with many amplifiers. The more power you throw at it, the worse it gets. This is why efficiency speakers (+96dB) have greater dynamic punch.
The problem you run into with moderate to lower efficiency speakers (less than 89dB) is something called 'thermal compression'. This is the tendency for the voice coil to heat up dynamically on peaks, which limits power with many amplifiers. The more power you throw at it, the worse it gets. This is why efficiency speakers (+96dB) have greater dynamic punch.