It is the other way around. Nintendo published the Switch version and is therefore in charge with its the promotion while Square handles the remaining version, so the PS4 one.Did Sony pay for exclusive advertising rights or something? The DQ twitter only mentions the PS4, the trailer at SE'a E3 only mentioned PS4, and the only commercials I've seen pop up have said PS4.
Anyway, I'm also struggling to find Switch reviews - Kotaku and GameXplain both said it was good with some performance issues later but nothing game breaking.