You spent good money on a Honda snowblower feed it good oil and change once a year you be good to go. In ten years I have run PP GC Amsoil HDD and Mystic in my 9HP Snow King never a drop used and all ran the same and runs like the day I bought it.
I ran two snow blowers with 10 h.p. Snow King engines for ten years each using nothing but inexpensive off the shelf 10W30 and 5W30 conventional oil changed annually.
Both snow blowers saw plenty of hard service dealing with occasional huge lake effects snow dumps in harsh Canadian winter conditions. Neither one of them used a drop of oil over twenty years and both engines outlasted the chassis they were mounted on. No need at all for expensive oil. It's a waste of money unless you're going to run it for multiple season which is an option.