For the highway classification, indeed, some are based on physical characteristics (such as width and surface), while others are based on function. Specifically for "living_street" and "path", this has been a topic of discussion among local contributors in Indonesia.

When I first started contributing to OSM, I shared the same view as you — that roads with such characteristics should be classified as "path". However, as I continued observing and interacting with other local contributors, my perspective changed. I later switched to using "living_street" instead of "path" for narrow alleyways around one meter wide.

These small one-meter-wide roads are indeed not physically suitable to be categorized as a "street" in the general sense. But in the Indonesian context, "living_street" serves as a middle ground between the "residential" and "path" classifications. For "residential", we have a common understanding without much disagreement. As for "path", according to the documentation on the wiki, it is not compatible with motorized vehicle use (unless explicitly allowed). A "path" is usually unpaved and not located within a residential area.

This seems to be a special case in Indonesia, where in everyday life, we find many narrow roads that are in fact part of residential areas. Residents use motorcycles to access these areas, and delivery services also use these narrow lanes to deliver goods, either as destinations or shortcuts. This appears to be something quite unique to Indonesia. As a result, in major cities, most local contributors now tend to use "living_street" as a compromise — a middle category bridging "residential" and "path".

This topic has been discussed multiple times in the Indonesian local contributor community forum, but we have not yet reached a final decision — whether to adopt "living_street" with certain exceptions or wait for the "alleyway" proposal.

In the case of this changeset, I see that way 724491805 is still within a residential area and used by people riding motorcycles. For way 251887610, I agree that it should be reclassified as "path".