Sadly, I wasn't able to find online versions of any study that supports your conclusion. The best I could do was this discussion which points out flaws in the two most commonly talked about studies. As expected, these studies used a minuscule number of cyclists among other problems (ex: testing at ridiculously low power outputs). FWIW, I also found this summary which claims that "clipless pedals allowed a greater muscular activity, a greater efficiency index, and better muscular coordination" during sprints.

Your shoe doesn't appear to be especially more stylish than the SPD-compatible Shimano MT-31 or the Specialized Tahoe, in my opinion. Hard to imagine they work well for hiking: the tread seems unsuited to anything other than sidewalks or well-packed, relatively flat trails.