Just using the table (430.250) as a starting point, I see a FLA of 27a times 1.25% gets you to 33.75 or 8ga wire. If you see #6 there it is because they think that compressor may be starting under a load and be looking at LRA or a significant portion of it, longer than you would normally assume, based on the article you posted.
They normally deal with this in air compressors by using an "unloader" that drops pressure between the tank check valve and the compressor. HVAC systems use a time delay to allow the head to drop so they are not trying to compress liquid refrigerant.
