Yes, the road is bikeable, but that is not a good reason to set bicycle=yes. That tag indicates that bicycles are legally allowed to ride on a particular way, not whether or not the incline or surface are suitable for them.

See https://wiki.openstreetmap.org/wiki/Tag:bicycle%3Dyes for more details.

For this reason I suggest reverting these changesets where the (legal) access tags of paths have been used based on personal preference of what is and isn't bikeable.