You are correct in that it is useful for serving as a "do not re-map" note for users, which is harmless, but in an area like a construction site—and area that is subject to frequent updates—adding extra nodes, ways, and area polygons creates more clutter to have to work with and try to not to break as you add new features to the area or update their alignments to match imagery, etc.

Some people will be in favor of mapping demolished features to leave a note, while some will be wholly against adding more non-rendering clutter to the map, though, in my opinion, it should be fine as long as it can't be assumed at first glance that the road no longer exists, like in a situation where there isn't an under-construction roadway mapped right over its old alignment, in which case I would just add a note to the way.