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Peak torque is still your limit in all situations. I guess if the variator was over geared you could have an automatic gearbox.
You can take your peak torque and instantly use it over variable gearing to spin your own robot against a competitors holding you or pinning you down by your spinner. Who knows. Just because the maths is different doesn't make it wrong. One track minds build one track robots.
They do but then again a pulley and belt is a far simpler system. With spinners you want the system to be as simple as possible. 500G+ impacts going back through small delicate components is a recipe for a single spin up machine.
Probably true, but it would be interesting to do a back to back test or see one in action.
Get building then :)
I'm sure a second series of robot wars will be coming along.
Variator/CVT might be a good solution for sensorless bldc motors though.