because batteries are also loads. old batteries float at lower voltages or act as a constant drain on the alternator - so they subtract what the alternator can provide.
a car with a good battery that floats near 13V will have an easier time maintaining 14V compared to the same car with an old battery that floats around 12V.
alternator output is relative to engine RPM. at idle, that output drops to half or lower. if you are at idle and playing the system loud enough, the battery is forced to support the system and car. the drop in supply voltage will decrease voltage rails in most amplifiers, reducing available power and sometimes causing clipping.
in the end, the electrical system is only as good as the weakest link. a good battery is the foundation to any automotive electrical system.
also, good AGM batteries are excellent current sources and respond much faster than the alternator. for good transiet response, good batteries are required.