One more note is that for the xbox 360 controller, xinput is not used or not seen, but with a generic logitech controller, Firefox picks up the commands and works as expected.
Bug 1609068 Comment 1 Edit History
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One more note is that for the xbox 360 controller, xinput is not used or not seen, but with a generic logitech (model F310) controller, Firefox picks up the commands and works as expected.