This is cute, but the use case in robotics is questionable. A variable ratio transmission for a robot seems to solve a problem nobody has. Electric motor control today is able to do that job over a wide torque and speed range. From drones to electric cars to Diesel-electric locomotives, nobody uses variable-speed gearboxes much any more. There are many robot gearboxes, but I've never heard of one with a shifter. Mach…
I think one of the very few remaining applications of variable-speed gearboxes are wind generators with no converter. But this in itself is rare, because it may be more reliable (?), but also less efficient than the power electronics... (afaik off-shore wind generators are going completely gearless).
Wind turbine gearboxes take a lot of pounding as the wind shifts. Wear is a big problem and not fully understood. The trend is toward gearless systems. Transmission repair atop a wind turbine is not fun. Power semiconductors are good enough that it's easier to deal with this electrically.