If the balanced input only operates when the amp is bridged, then it is considered balanced but not differential (even if the individual channels are differential). set up this way the Common Mode Rejection Ratio (CMRR) will likely not be very good. Some mbl amplifiers are set up this way.
If the balanced input works in both bridged and stereo mode, then its likely that it is a differential input and performance will be better.
If the balanced input works in both bridged and stereo mode, then its likely that it is a differential input and performance will be better.