I'd say wall_loops because being attached to the wall is not a condition for it being wall_loops. The name may be confused with bikes hanging vertically on the wall, like the kind seen on light rail.

If you see https://bicycleparking.org/resources/bicycle-parking-types, you will see them called front tire only. It also lists the grid style rack, which I also frequently see, but it's not listed on the OSM Wiki.