Next, "what connector? You are saying "the connector" I have no idea what connector you are talking about
HERE IS HOW this works
You have two flashers. The turn flasher is powered by a circuit through the key, so it's not live full time
The hazard flasher is supplied full time power so it should be always hot. The hazard system depends on the TS switch being in neutral, and YOUR FOOT OFF THE BRAKE.
The hazard switch has 4 terminals. When off they are all isolated. When engaged, all 4 are jumpered together 1 pin of the hazard switch receives power from the hazard flasher
When engaged, the hazard switch is then connected to the remaining 3 hazard switch terminals. They are
1...left front turn
2...right front turn
3...brake switch wire going into the TS switch
So this switch simply routes hazard flasher power to the 3 points of the TS switch that will then feed power to all 4 corners
Light green (LGN) and Tan (T) feed off to the left and right turn signal lines
White (W) is going to the brake switch input
Red is power coming from the flasher