I have always been told, and believe and follow it, 2-cycle (or 2 stroke) oil is only for 2-stroke engines like chain saws and the like, where you mix it with gas since there is no oil in a crankcase, and 4-stroke oil is thicker and only used in 4-stroke engines where there is a crankcase filled with oil. I have had others tell me they used 2 cycle oil in their 4 cycle engines and they soon started using, and leaking, oil and "blew up' within a short time. I talked with a very good, and reliable, mechanic this same question. He said to me, You dont use motor oil in place of transmission fluid do you, it is not designed for that, always use the right type in the right place.
Just my thoughts, I'm not always right, but always try to do the right thing. Save yourself some possible problems or headaches, use 2 cycle in 2 cycle and 4 cycle in 4 cycle.