Good question. I'm really not sure and it's pretty tough to say.
The one thing that may lend credence to it being something on Apple's end is that when I search for an artist on my iPad (in Apple Music), choose them from the search results and their artist page is loaded, I noticed that albums are first listed in list format (as they show up on the iPhone) - after the data wheel in the status bar spins for a few seconds, the albums eventually reformat to being an album cover view similar to what you see in iTunes (row of 3-4 albums going across from left to right, another row below, so on & so forth as required depending upon the size of said artist's catalogue). Now this may mean nothing at all or it may be that something wrong with iPad OS & the template it's set to display albums in on that page or again, something to do with how that data is transmitted from Apple's servers. It is always at this point for me when things begin to lag, choke up & eventually quit. Normally, I wouldn't have any sort of confidence that it would just go away as this is generally not how bugs work...but the fact that it was present on my iPhone & then disappeared has me very curious/hopeful. I'm very much looking forward to getting to the Apple Store on Thursday for my appointment so I can play with their iPad Air 2's and see if I can reproduce the problem as well as to see how my iPad responds when being used on their in-house network.