If the amplifier is truly balanced, it will not care if the input signal is balanced or single ended, nor will it matter if you use the RCA or XLR for that input.
I can imagine an amplifier that is balanced but does not take advantage of all the possibilities that balanced operation offers, but the idea that using a single-ended source with it might set off the protection circuit seems weird. If that is really true then there is a problem in the amplifier that needs to be fixed; I can't think of a reason why a properly operating amp would behave that way.
Now when you attempt to run a balanced amp with a single-ended source, care must be taken that the hookup is correct. Often its a good idea to make sure pin 3 and pin 1 (ground) are tied together. If this is not done, pin 3 can float and inject noise into the amplifier. This might be why we see a few weird responses in the posts above (although I would have expected that this sort of nuance would have been dealt with, but maybe not...). The Cardas adaptors we have seen do not do anything with pin 3 so they usually need some sort of attention, depending on the setup.