I have been a designer for 10+ years, when you ask me “which is more correct” I’d always go for the option where skip is also a blue button.

Good design is not just consistent patterns, but also clear communications. This is the design equivalent of fraudulent small print in a contract. This is saying to the user: you have two options, but one is rather silly, don’t go for it.

In that regard: weighting and sorting options by how often they are used is good design (because it reduces the communicative friction in everyday life).

Making the (from a privacy standpoint) better option seem like no real alternative option is increasing the friction for some and manipulating others into not choosing at all. Like a car that warns you about steering right while it praises you for steering left, although both should be equal options.

Bad design, because it is bad communication.