Always keep in mind that the brakes are interrelated to the turn signals by design. If there is a problem with the brake light switch or the brake light connection in the turn signal switch, there can be problems with the turn signals too.
Changing from 6 to 12-volt effectively drops the system current requirements by 1/2 to do the same job so that is no problem with switches or wiring that are rated for the higher current flow of the 6-volt system. Load items like bulbs & motors are are a different story since they are affected directly by current flow and they will draw more current than they were designed to use at the higher system voltages. A six volt flasher unit would be buzzing on 12-volts.