So it looks like the white wire is a bleed off the the positive power from the battery and the black is ground, which means you have rightly assumed that blue is the trigger.
So lets try to rule out some things.
1. Rule out AOB swtich and tap power from ignition. Connecting the red and black LED harness wires to the battery and using the switch that came with the harness and wired correctly (blk to blk, blu to blu, white to white) does the LED come on?
a. If yes, we know that your battery connections are correct, we know the relay is working, and we know the LED is functioning
b. If no, either you have a bad ground, a bad relay, a bad harness switch, or a bad LED
2. Check tap wiring from fuse box. When the key is turned on and using a voltmeter, do you have 12.x volts? Confirm that when the key is off you have 0 volts.
3. Check the AOB switch w/o tap wiring from fuse box. If you plug the green AOB wire to the harness white wire and the red AOB wire to the blue harness wire, does the LED come on?
a. If yes, you know your AOB switch is working
b. If no, then the AOB switch is faulty or we are using the wrong wiring diagram for the AOB switch you have.
If all the above test are positive it should work exactly how airbusa wired his.