Saw this on YouTube, just as you described. Since a huge swathe of the local population will have come of age gawping at the nubile dancers and actors at the Bombastic Disneyland electric parades the spectacle offered at the Robot Cafe seems like a logical progression.
You didn't mention the gleaming gold toilet stalls where patrons can create their very own Eau de Trump.

Apparently it takes about £100,000 to start up a cat café in London
http://ladydinahs.com/
I think the 'robot' franchise would involve considerably more capital, so this is probably going to stay an "only in Japan" concept for a while - at least until the legions of growing males currently being desensitised by Mickey and his energetic friends over in Hong Kong and Shanghai come of age.