Of course, information from people who know the place is best.
“residential” seems wrong here, better use “road” when you don’t know how to tag it.
kucai’s suggestion looks very reasonable, and I’d do so too when I trace from Bing.
Unclassified is poorly named, it should be quarternary, but many people wouldn’t know that that means 4th level. This goes between residential and tertiary (3rd level).
If you don’t know what a road should be tag it as road. Yes, josm flags that, just like it flags unnamed residential and unclassified roads. But that’s ok, if you just don’t know. Another mapper comes along, gets the flag and s/he may know and fix the tag.