I don’t play them on the pc myself. The thing about Cog games is that on the mobile, they can be taken anywhere and you can stop at just about any point without needing to worry about saves or progress.
When I do play them, it’s usually on a long car ride or waiting for something because it’s much easier to just take them anywhere. And you don’t really need a huge screen to play a Cog. While playing on your computer is an option, there’s just the same portable that you get with mobile versions. And unlike some more intense games, there’s not going to be a difference in the mobile version of a cog to a pc version.
So…yeah. I just find it better to play them on my phone. Ones I’m invested with, I can pick up on the fly and they are great for killing time. Of course, if I like it, I can still play it at home. But you can do both on a mobile version.