Not sure from your photos that it is fake. When I get into my shop tonight, I'll look. I have an older (bought in the late '90's) authentic Mitutoyo that looks similar to yours. It has the two battery contacts you show, one of mine broke off recently and I thought I'd have to replace them, finally, but its still working. The Origin button looks to be similarly recessed, I want to say it's in the wrong location on yours, but I could be wrong. I know mine is genuine because I bought it either from MSC or Travers, directly off of their site back then and I do not believe they would sell fakes as genuine, at least not on purpose. I saw C42's video and his checks really only apply to newer Mitutoyo's, older, genuine, ones may not pass his test, but that does not mean they are fakes, its just that Mitutoyo changed their design over the years. I hate the extremely recessed Origin, I can't tell you how many times I thought I pressed it enough only to find out the caliper did not zero out. I like that the newer ones have that button the same as the other buttons. But then, perhaps they copied an older Mitu design.
I do agree with C42, though, if I were to replace my Mitu, it'd be with a mid-level brand, like the Shars, that don't pretend to be something they are not. I understand that the fakes probably are not bad all by themselves (I have a few of the $10 Harbor Freights that are pretty good, just not as nice of fit and finish as the Mitu, even then they don't pretend to be something they're not), but to portray yourself as something your not, is not what I want to support.