Nah it's just a very funny idea. I think that what livestock is or isn't is pretty meaningless here because that varies by country, and obviously livestock can be intelligent and trained to litterboxes and many other pets are not intelligent or litter trainable, and most animals can live outside in the wild. I mean, I have a husky that hunts rabbits and is suited for the environment and it's ILLEGAL to keep her outside where I live. Some people think that's cruel, it's very cultural. So just because it's not commonly done doesn't mean this rooster is unhappy IMO.
I think if we look at actual research on if an animal is happy in its environment we look at a few things;
Activity level
Natural behavior fulfillment
Destructiveness
Habitual neurotic behavior
Health
For example, if a horse is cribbing in its stall, a dog is shredding your couch, or a chicken is lying about depressed and unmoving, or a snake has scale mites - that's not a happy animal.
But if the rooster here is crowing, digging in its litter, and not actively trying to destroy household objects from boredom... Plus it's eating, drinking, healthy and safe... There's nothing to ACTUALLY point to this chicken having a worse quality of life than any other bird. We like to say "chickens are happier when X" but... We humans are happier when we're cozy and warm indoors with easy access to food as opposed to our natural environment. So how do we really tell if an animal is doing well?
There's a LOT of research on this, especially out of zoos, and how to keep animals in confinement that would normally be unhappy in an enclosure happy. This is a regular occurrence in our human society. We observe their behavior, make changes, and then re-observe. We can see when pacing decreases in captive animals, when sleep balances out with activity, when animals are preforming natural behaviors and when they're refusing to. There's no reason at all that those same techniques for enrichment and monitoring can't be applied here. It's all very quantifiable.
And tbh, OP would know better than most of us if any quantifiable negative results were taking place. I see many posters suggesting that the rooster is mounting the remote is a sign they are lonely. It's not. It's normal horny teenager behavior - actually a sign of a confident and healthy animal exhibiting normal behavior. I've had house rabbits that used to wanna mount my legs, dogs mount stuffed animals, and like other have said outdoor birds mounting random objects. Nothing about this chicken screams to me that it is in a situation detrimental to its wellbeing.
If someone has some sort of ACTUAL evidence to the contrary - maybe a report on house chickens living shorter lifespans, showing increased stress hormones, or showing decreased activity levels compared to flock chickens- I'd love to see it. But right now it all sounds kind of like conjecture and posturing and feels and has very little to do with the reality of how well off this bird is or isn't.