Having done the aspirator fan fix, I have two observations to raise about your suggestion. The first is that the aspirator fan motor looks like its a low torque pancake style motor. 3 in 1 is sae 20 oil and as such is fairly viscous and is probably more suitable for larger motors like furnace fan motors and the like (1/4 hp or larger). A more suitable oil might be the oils used by the model railroad guys for lubricating the motors in their model locomotives. The second is that accumulated 'crud' is the primary cause of the dreaded aspirator fan clicking. Oiled surfaces have a nifty way of collecting dirt. If you decide to lubricate the bearings, less is better in this particular case, otherwise you may be repeating the fix sooner than expected.
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I did the fix on my 2000 NSX without breaking anything. The hardest part was popping out the parts without scratching the dash surface. The service manual shows a screwdriver with a cloth to cushion the dash. I used two layers of wide heavy masking tape along the edge of the dash plus the cloth, just in case I slipped. Definitely wait until the temperatures are warm. I suggest at minimum 20 C.