Yes this is a problem, of sorts.
There are those who say they want to pursue "accuracy" which sounds like a goal anyone could get behind. But accuracy to what? It makes things easier to define it in objective terms such as "accuracy to the source signal - reproducing the signal of the source with as little distortion as possible" or some such goal. But this still begs the question "why that goal? To what end is that goal chosen in the first place?"
The justification for wanting to hear the source as undistorted as possible is very often pushed back to "because I want to hear what the artist/mixer/engineer intended me to hear."
Well, then..uh-oh...we find ourselves in a morass due to the types of issues raised in that video. In some cases, the artist/engineer assumed you'd be listening on apple earbuds in terms of how it was mixed, so do you ditch your speakers for those albums? There are a great many studio monitors that sound different from each other. Which are we to emulate at home? And even if a studio uses some very neutral monitors, you can see how the mix is still considered for a variety of possible uses, and mixed appropriately, so they aren't even necessarily mixed to sound right on the very monitors they were mixed on!
Floyd Toole is right in the sense that if both the engineering side and consumer side lined up their priorities we could to some degree break the "circle of confusion." But in the real world, with so many different studio monitors, the influence of so many different studio spaces, and then the fact mixers know there is a vast number of different speaker types used by consumers, the practical nature of mixing makes this a very difficult if not impossible goal.
This is one reason why my worry about "accuracy" only carries so far. I want a generally neutral sound, but I don't sweat departures that simply help me enjoy music through the system more. I'm the one listening to my system, I have my goals, I'm trying to please myself, and pleasing myself ultimately means increasing my enjoyment of music played through my system. Given I'd think the most important goal of the artist is that you enjoy their music, that seems a win-win meeting of goals, given the compromises involved.
Choices, choices. Decisions, decisions. He who pays the piper calls the tune, mostly.