The more I think about it, the more inclined I am to give this template a shot. One set of higher reps might be a welcome relief for my shoulders and knees, having battered them with low-reps for awhile now. The one change I might make is to substitute the ab movement with a ballistic movement like swings, burpess, jumping jacks, etc.
Point of clarification: you don't do the same exercises everyday, lest you fall prey to pattern-overload. So, for example, your horizontal-push might be pushups one day, dumbbell floor press the next day, dumbbell overhead press the next day and so on. This is not chasing variety so much as varying angles to protect the joints.