I'm mainly an xbox player and I only use my playsation for console exclusives. TLOU was one of my favorite games of that gen, but it is a scripted game (as a number of games on all systems are when it comes to campaign based games with levels and a story). Halo was scripted. Gears of War is scripted. God of War is scripted. I think the biggest issue here is you are taking "interactive movie" as some sort of negative term or connotation....no one wants to watch a shitty movie, no one wants to play a shitty interactive movie. TLOU was a great interactive movie...cuz ya know...that's kind of what single player games are. The ability to control a character and experience a series of scripted events. Unlike a non-interactive movie....where you have no control or input.
But people do use it as a negative. I think the ideas your discussing are complex, ever since the original Mario Bros. for NES story has mattered in games, did you have as much REASON to go after Bowser if he hadn't kidnapped the Princess? A narrative reason to do the things the game lets you do is almost always included in a game. When you get into games like Minecraft you often find the people most invested are creating their own narratives to invest themselves. As humans we need reasons for the things we do no matter how much we can enjoy them divorced of such reasons. I guess the difference between narrative gaming and I guess regular gaming is how thin those reasons are and usually this means substituting the narrative reasons for other reasons like high scores, achievements/trophies, leveling up, etc. Destiny is a huge game at this point but the narrative tends to fail players each DLC, though the lore keeps people invested all the same, still would it survive without pursuits to go after like specific weapons, conquering specific modes, new emblems, triumphs, etc.?? The game is chock full of reasons to keep playing regardless of a poor narrative. The worst parts of the game to most are the story missions because it's where the story is most in your face and since the story is poor and poorly told it makes those sections a true chore to experience.
Setting aside the debate about who does cover shooting better between Gears and Uncharted the debate over who does story better, to most people, is settled. Though personally I find both games lacking in story I find Uncharted excels in how it TELLS the story and how much of it is told using gameplay. Both tell stories that are relatively dull for me, but the believable characters, animations and amazing scripted segments engenders me to care more in Uncharted than Gears. It's a leg up without having to prove one has better shooting mechanics, AI or so forth. But personally I do find Uncharted combat superior, because you're mobility is better, enemies are less bullet spongey and react more to being shot, there's more verticality and bigger arenas to fight in. A good comparison that comes to mind is the helicopter battle in Uncharted 2 vs the one in Gears 5, the Gears 5 one is embarrassing by comparison and feels up to the level of say 50 Cent: Blood in the Sand at best. Gears 5 is at it's worst when making me fight a boss enemy because the gameplay just isn't well suited to you having to run around an environment and easily find cover again. It's at its best when it has a big environment with plenty of regular enemy types to deal with. Whereas Uncharted, to me, can excel in a boss battle, a set piece or a heavily gameplay focused gunfight. I don't think being good at the cinematic element is a negative to a game but it feels like it's treated as one.
When I think interactive movie I think Detroit Become Human, Telltale games, Life is Strange, Until Dawn. I don't think games that are simply linear or have a story mode. Even Dark Souls games have story but no one calls them interactive movies, even when they mimic the epic scale and dramatic music a movie might offer to sell the importance of an event. It's all shades is the thing, and there's many shades between Until Dawn and Horizon Zero Dawn. Same thing with XBOX games, I might wonder why Gears escapes the interactive movie idea while God of War and Uncharted get labelled such a way but I don't wonder why Sunset Overdrive, State of Decay 2 or Sea of Thieves escape it. Both consoles have a diversity of games that fill out those shades of grey I mentioned, Switch in comparison has nearly no cinematic experiences that aren't third party. Unless you get incredibly simple with the term and just mean the game has any sort of story/incentive for your actions. If I see fans of MP gaming, Nintendo people or so on complain PS4 is just movie games I don't think quite as much of it because to them, sure, it's closer to being a movie than their games of choice. But when it's people championing games like Gears 5, Witcher 3, Metal Gear Solid or whatever else I just shake my head at the hypocrisy of it.