Of course it drains the battery since if nothing else there will be warning lights on.
On an old car with points current will flow through the coil if it stops with the points closed. On newer cars with breakerless ignition this doesn't happen as the sensor only triggers on movement.
In the absence of expensive DC current probes, one way of roughly seeing if much current is being drawn is to hang a DVM across the battery to measure the voltage drop when things are switched on. So, if you measure 12.30v with everything off, and 12.00v with the parking lights on you could add up all the wattages of the bulbs (perhaps 4x5watts=20watts), and deduce that
0.30v drop = 20w load applied. Do it a few times as battery voltage tends to wander a bit. Then turn the lights off and turn the ignition key to ON and measure the new voltage, and the voltage drop. In my case it was approx half the drop from the parking light example, so must have been taking about half the current, say 10w, and current = watts/volts so just under 1A current and unlikely to burn anything out. Any other (cheap) method involves removing leads.
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