This forum convinced me my issue was the typical stator coil open-circuit failure, and... it was. I fixed it for about $250 in genuine Honda parts ordered online (+ $30 in tools I didn't have), and no need to visit a mechanic to discharge/charge the refrigerant (+$150). Adding a genuine Honda compressor to this repair would also add +$526.
I noticed the compressor did not spin when the AC was turned on, but the engine RPM changed slightly (like the relay or something was activating). So first I checked the voltage was being delivered to the coil by disconnecting and measuring the wire from the relay box. See photo. Be careful, there are fans and belts moving! Then I verified the stator was open circuit by measuring resistance (infinity/open-circuit) of the other end (connector going to the coil) vs. the same chassis point.
View attachment 88953
At this point it was clear that the stator had to be replaced at the least, before finding out about the compressor.
So, I ordered both the coil/clutch parts from hondapartsnow.com:
38900-RGM-505 Clutch Set (includes pulley & clutch plate) ($160)
38924-RGL-A01 Stator Set (includes wire harness) ($73)
I also had to get some tools from Harbor Freight:
Serpentine belt detensioner ($20)
Small snap ring pliers ($6)
Snap ring ratcheting pliers kit ($10, not the $16 red/black case)
I rented the clutch holder tool from AutoZone (#27000, $25 rental, money back upon return)
I used jack stands for the whole front end, cut the wheels to the right, pulled back all of the fender trim that was forward of the drive axle, detensioned and loosed the serpentine belt (19mm socket), partly removed the subframe bracket (loosened 3x17mm bolts; removed front 2, then just swiveled it out of the way), and lowered the compressor (4x12mm bolts) in order to get a good angle on it. I dropped the compressor a bit and tilted it inside the engine bay. I don't think I could have done this without dropping the compressor. The 4 bolts that hold the compressor aren't that difficult, and it makes the real annoying steps (the clutch holder/removal tool and snap rings) much more tolerable.
I measured a 0.50 mm gap between pulley and clutch plate. Not sure whether that is standard or wider after wear, but it falls in the range posted elsewhere (up to 0.60 mm).
I then removed the clutch plate's 10mm bolt using a socket and the clutch holder tool. I threaded some of one of the long compressor mounting bolts into the center hole and it pushed the plate off.
I needed the small tip snap ring pliers (with 45 degree tips and extra widening trick posted elsewhere) for pulley removal.
View attachment 88945
(photo from somewhere online)
Also here is an example of the large one you'll need next for the stator ring:
View attachment 88969
Used large tip straight ratcheting snap ring pliers for stator removal (deeper and larger diameter, also larger holes for plier tips). Photo before removing the old stator:
View attachment 88961
Using all 3 washers received in the stator kit did not leave enough gap. Original pair of washers was too much gap; I used a combination of original washers and new washers to get a 0.6 mm gap between clutch plate and pulley.
Reassembled (note: used ~120 Nm torque on those 3 subframe bracket bolts). Also re-routed/checked the serpentine belt.
A/C blows cold air! This probably took me 6 hours, because I had to go to 2 different stores, had to go back to Harbor Freight to get the larger snap ring tool for the inner snap ring, etc.