That’s not really what’s implied in that statement. A better comparison, using your streaming service analogy, would be that you subscribed to Apple TV because you heard Severance was really good. However, one thing led to another, and now it’s months later, and you still haven’t watched Severance. So, instead of starting a new series (say, Ted Lasso) you queue up Severance instead.
It’s still not a great analogy, because the streaming service implies a real, ongoing cost to maintaining access to the service, which is not the case with most people’s game libraries. That being said, with Gamepass and GeForce Now etc, it’s not necessarily out of the question.
The purpose isn’t to “deplete entertainment options”, it’s to utilize the options you already have financial investment in before sinking more money into more options simply for their novelty.
The “point of the product” isn’t to provide theoretical novel entertainment value by sitting, unplayed, on my digital shelves. Bold take here, but I’d suggest the point of a video game is to be played.
I mean, I guess I just don’t view entertainment options as a finite resource. Amusements abound. Games, movies, shows, books, lectures, theater, articles, podcasts, music, sports, etc. The means to dispense with my free time far far far exceed the amount of free time I have to fritter away. So, while you may view backlog management as unhealthy min/maxing, I would counter that your preoccupation with “running out” of entertainment is, at least, equally as unhealthy a min/max mindset.
Also, I can’t speak for others, but your clothing analogy made me think of this: when I talk about not wanting to purchase a game because of my backlog, usually I don’t mean “aw man, I’d really like to get Baldur’s Gate 3, but I haven’t finished my Madden dynasty yet”. Rather, it would be closer to, “I’d really like to get Baldur’s Gate 3, but I bought both of the Owlcat Pathfinder RPGs last sale and I haven’t even booted those up yet”. So, it’s less about deciding whether or not to buy a shirt based on how many pairs of jeans you own, and more about deciding whether you need the latest, most fashionable cut of Levis when you’ve got 3 pairs of Costco jeans at home still.
Ultimately, it’s neither right nor wrong of you to hoard digital games. It’s your money, you do with it what you will. It just seems like a wildly hot take to come into that conversation swinging around accusatory statements like “that’s an unhealthy min-max mindset”.