A "test LED" doesn't take much power at all to light. The normal drain of the clock, radio memory, and ECU nvram will light an LED easily.

But 250 mA is serious, and the most common reason is flaky insulation in the door's key switch or lock knob switch wires holding an actuator. The second most common reason is a faulty courtesy light delay relay under the steering column.

To isolate the central locking cause, disconnect a three-position connector above your left knee with red, black, and green wires. If the 250 mA drain persists, try removing the dome lamp delay relay -- looks like a fluorescent lamp starter with four spade terminals.

Beyond that, suspect any aftermarket radio/alarm/keyless gizmos not professionally installed.
--
Art Benstein near Baltimore

Ever wonder what the speed of lightning would be if it didn't zigzag?