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people need to use basic geometry, extending the radius further from the center actually make it take a longer period of time to move the thumbstick not faster.
I don't think its so much about being faster, the distance added is not a big enough of a difference to really affect things there.
Ultimately, it may allow you to be more accurate and precise. It might make it a bit easier to track targets as well.
the distance traveled when using the thumbstick extender is further therfore you actually have a wider radius. in other words using the thumb extender means you have to travel a further distance than you do when not using it. just like buying new shoes and thinking it makes you run faster, it doesnt.
my hands smell like cantaloupe , everyone should come over here and sniff my hands.