I don't think the electronic flashers are dependable on those units .... yes, use an ohmmeter to check just what happens, you should be able to open the case up and check the switch directly, might have fried a contact in the switch or just heated a wire off it that could be fixed ... dead shorts, even if it's only for a second, can easily blow things .... if both brake lights work when the turn lever is in either off, L or R, something in the switch has to be gone if you have it wired right
Bill