Oh-oh, another oil thread....
I know it's been stated before that 20W-50 was the recommended oil for the CB350F. I'm not familiar with other models, but my 1974 CB350F Owner's Manual has only one reference to this weight of oil, listing it as one of the two recommendations in the section for changing the oil and oil filter element on page 38. To quote: " Fill the crankcase with approximately 3.7 U.S. qt. (3.5 l) of premium quality, SE, SAE 10W-40 or 20W-50 oil or its equivalent." This is the only reference to 20W-50 that I can find in my manual. On page 27, it lists the recommended oil viscosity; quoting from this page below:
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General
All Temperatures SAE 10W40
Alternate:
Above 59*F (15*C) - SAE 30
32* to 59*F (15*C) - SAE 20 or 20W
Below 32*F (0*C) - SAE 10W
_______________________________
Further to the quoted references from the Owner's Manual, the oil dipstick/filler has embossed on it "Use SAE 10W-40".
Looking at the Honda Shop Manual for the CB350F-CB400F, it lists the following in the section for Changing Oil:
Recommended Oil: SAE 10W-40 (All weather)
SAE 20W50 (Above 59*F or 15*C)
Based on what this last manual states, I would conclude that for the smaller SOHC4's, 20W50 would only be recommended if the temperature was consistently above 59*F. Using this viscosity of oil when the temperature is lower might lead to poor circulation and consequently excessive wear or damage, particularly at start-up.