That doesn't make sense as a fair comparison. Doing cross as part of edges is a restriction/benefit that is inherent in that method which isn't relevant to others. Furthermore, the OP specifically mentions not worrying about finishing the centres for certain methods, but having solved centres restricts what you can do with edges too.Because Yau and Hoya build these edges in place.
It wouldn't be a fair comparison if you don't get to the same point in the solve.
Ultimately in means the whole point of this thread is silly. You can't look at the "efficiency" of edge solving in isolation from the method. Maybe edge movecount is lower, but centre solving is significantly impaired. Maybe edge movecount is much higher, but the cross+F2L is completed at the end. Efficiency could only truly be looked at when comparing whole solves and looking at a range of factors.