It seems "right of way" definition created some confusion.

From Google translate:

1) the legal right, established by usage or grant, to pass along a specific route through grounds or property belonging to another.

2) the legal right of a pedestrian, vehicle, or ship to proceed with precedence over others in a particular situation or place.

You are interpreting what's described with "right of way" as the second definition, while it's the first one in case of your wiki quote.

Access tags are about access, no double meaning.

I'll repeat again: priority does not matter in this case. 

We understand the law the same way, we have different understanding of access tags. Please try to understand the whole context of the wiki article, not a single phrase from it
https://wiki.openstreetmap.org/wiki/Key:access