Jay, here is a very simple explanation of the difference between an old style, bi-metallic flasher and a new electronic flasher.
The bi-metallic flashers were pretty much resistor switches that, when given current, heated up the bi-metallic spring to make, and break, contact within the circuit to cause the flashing lights.
The current comes in, heats the bi-metallic, the bi-metallic flexes in a spring like action to break the circuit, the bi-metallic cools and remakes the current circuit....lather, rinse, repeat until the current is removed when the turn signal switch returns to its neutral position.
The electronic flashers are more like a tiny relay system within the small flasher box.
They sense the electric signal, which is not as current related like the older style flasher.
Once an electrical signal is sensed the relay triggers the switch and the cirsuit inside (usually a simple timer) begins to make and break the electrical path to flash the lights.
This relative lack of current need is what allows the electrical flasher to work with small load cirsuits like LED lighting swaps.
Most electric flashers are polarity sensitive due to the internal circuit being "open" while at rest, meaning it needs power to close the circuit and turn on the lights to make them flash.
The old style flashers are in the "on" position at rest, meaning the circuit path is already made so the lights come on, only being broken intermittently when current causes the bi-metallic to heat and break the circuit. In this case the flasher is turning the light off to make them flash.
Glad you got this figured out.