My impression is that rectangular rooms appear wider and shorter when laid crosswise, whereas they appear longer and narrower when laid lengthwise. This phenomenon hardly occurs on the upper floor. Based on gut feeling, I would go for [Ost-West-Verlegung] there (if north is at the top).
It becomes more difficult on the ground floor. With [Ost-Westverlegung], the already long living-dining area is stretched out. With [Nord-Süd-Verlegung] (if the kitchen also gets vinyl), the dining-kitchen area is affected. In my mind, it would look better with [Nord-Süd-Verlegung]. Even more so if the kitchen is tiled. (The transition, however, would be nicer with [Ost-Westverlegung] to the kitchen because it’s a cleaner cut.)
I wouldn’t change the laying direction within a floor from room to room.
My recommendation: Take a look at rectangular rooms with different floor coverings. Especially with 30x60 tiles, you can see this phenomenon that the rooms seem proportioned differently very well. With most vinyl designs, in my impression, you have a similar phenomenon.