Whether that works for your controller is unknown.Lets say i take two leds and i take the negative termina
I would experiment first before committing to it.
The simplest route would be the one you were taking: rearrange the leds mechanically but not electronically. For that, you need to make sure that your leds were indeed parallel. Once confirmed, just parallel the leds in a circular fashion and call it a day: the controller wouldn't see a difference.