I could see this working well. In many (most?) cases it is probably fairly clear which way is “lesser”. As with many other yes value tags, a more specific value could be used in cases where the “lesser” way is not clear.
I’d say that for most junctions this would not be useful or necessary. I was only thinking that there might be some junctions where it could be useful in which case a more general take might make sense. I take your point that a more general tag could be less clear though. The question of which way the continuous attribute applies to when two of the same classification intersect is worth considering though. Perhaps there might be an intersection between two cycleways, each with a different surface treatment, and where one is clearly continuous through the intersection while the other is interrupted.