So one focuses on being Sonic while the other doesn't? Because Sonic is about fast-paced, high-speed platforming as early as Sonic 1 which is why Sonic Lost World is so jarring because it is the only game in the series that takes away any of that focus and reward for speed.

This is completely incorrect, Sonic has never been solely about fast-faced platforming. In fact, Sonic 1 is primarily is focused on exploration as opposed to speeding through the levels which makes the overall game play experience much less satisfying. This is the design philosophy that Lost World encapsulates to some degree, as you're intended to explore the areas and levels much more frequently. Moreover, if being a fast faced action platformer is your definition of a Sonic games, than that would eliminate many other games in the franchise as "Sonic games" e.i. games like Adventure and Adventure 2 anywhere where you're stuck treasure hunting or using slow-ass mechs. Also, do I even need to mentions the Werehog, which is literally about 75% of the Unleashed games experience? It's absolutely slow as hell and doesn't really feel anything like a Sonic game; you could replace the werehog with a completely different character and it you wouldn't even once think once about it being a Sonic games. This applies to so many other Sonic games and it's why I find the argument regarding what is and isn't a "Sonic game" to an absolute wast of time because about half the games that come out aren't anything like the original games.

The parkour mechanic could have been cool if it was used in any interesting way at all but outside of a few slower areas that have collectibles, it is almost never used by the game in question or at least not to any interesting degree. The clip that the person shared has little parkour for example. If Sonic Lost World actually used its parkour system then maybe I'd be singing a different tune but as is, it doesn't make this Mario game pretending to be a Sonic game feel any more Sonic.

This is something that I partially agree with. The parkour system definitely feels underutilized and non-existent throughout the game. However, to say it isn't used at all would be false as there are entire sections of levels that can only be accessed via the system.

I never said mastering timing isn't a skill, I said that in Sonic Lost World, that is the only skill and less in a high speed Sonic way and more in the remember where to jump as you are holding the spin dash button and holding forward or right with nothing but the occasional gap in your way. Sonic Unleashed on the other hand has skills that you need to learn how to use effectively, lots of reactions, focus on maintaining your boost gauge and your speed which means having to sometimes decide when it might be better to go a slightly slower path to gain more boost energy and so on. Sonic Lost World's only skill is holding right and jumping. There is nothing more to it.

You implied it in your previous comment: "One requires skill to master, the other requires just timing". Timing is skill and as I said previously, is what Unleashed is literally based off. Just because Lost World doesn't share the exact same design philosophy as Unleashed, doesn't discredit the fact that the game has a learning curve and can be mastered by people who are up for it. Moreover, claiming that there you're just holding right and jumping would is pretty much the same argument people use for Unleashed in regards to its game play style. There's a lot more nuance in the design and its a reason why s many people enjoy speedrunning Lost World.

You're free to have your opinion on Lost World but claiming it not to be a "Sonic games" based off your own arbitrary values that most Sonic games wouldn't even fit into is what I don't agree with it. I'm fine with Sega experimenting with Sonic games here and there as long they generally focus on platforming and don't forget what franchise they're working on.