Does the path you take impact node/unit types

Sorry I’m about to butcher the terminology beyond belief here but you guys know what I mean I think -

In the big map, ya know when you choose either the circle, the circle with the X through it, or the skull - does the theme of the node - like “imperial” or “death cult” or whatever - affect the types of nodes that appear?

I was just playing an archmage run and didn’t see a single shop that sold psychic units / spells until the fourth zone. Wondering if I messed it up