I think that inverts history. The YT Music implementation and brand existed long before the decision to replace GPM with it. The branding decision followed most of the reimplementation, it didn't provide an excuse for it.
Google has a strong tendency to have multiple parallel offerings in a field for a while before consolidating them (and, also, a history of botching the consolidation.)
The multiple parallel offerings thing is of course its own problem that seems to often indicate communications issues up/down the decision chains, but specifically with reference to GPM/YTM I heard it was more a symptom of a rewrite than one of those communication breakdowns. Though again, that's only from impressions I got from scuttlebutt I heard second and third hand.
Google music hadnt changed in a few years, so of course we need to get a promotion by destroying it and replacing it with something that might grow faster but definitely wont.