I am in same boat as you are. Honda and Acura have this bug up their ass about 5W20 oils. No one at Honda will give you a straight answer. Honda tech support won't talk straight about it.
I heard that they use 5/20 over 5/30 because 5/20 will result in slightly better fuel mileage, at least theoretically, so they can claim better fuel mileage. Some say the clearances are so tight that 30 weight is too thick.
However, I've read numerous times that when using a muligrade conventional oil the further the spread in the numbers the least effective it is. For example,
a 10W40 is a no no. 10W30 has the maximum spread between viscosities before unacceptable compromises take effect. Apparently, in temps above freezing, SAE 30 contains more protection ingredients than 10W30 because the chemists don't need to blend as many temperatures additives for the SAE30.
In my winter Saab I use 5W50 100% syn. Crappy Tire brand, which is Shell. Shell is probably the largest distributor of lubricants worldwide. Huge in the shipping and marine industry. Mobil 1 too expensive for me. I use their 15W50 in Porsche only. I use 5W50 syn in Bimmer as well. These are all high mileage engines though.
So, I will convert to Motomaster 100% syn 5W20 next change on the 2002 SIR. I wouldn't mind using the 5W30 (spread between numbers on 100% syn does not matter), but I don't want any problems with warranty with Honda if son decides to blow this motor up as well.