While there seem to be a variety of technical problems with the electronics of the Beats Studio 2.0 headphones (both wired and wireless), mine had a very specific problem:

Appearing fully charged, they would play (at any given volume) for a period of no more than 1 minute before fading out, the effect spanning roughly 1/4 of a second. They would need to be hard reset and turned back on before being functional

My initial hypothesis: either battery was not charging properly, internal circuit problem ("fading" may be from capacitor failure), or some other miscellaneous failing component