I have always felt the manufacturer knew what oil was best for their engines and followed these recommendations. It seems as if more manufacturers are recommending a sythetic and multi viscosity oils.
Kohler CV operator manual

As a small engine mechanic and attending Kohler service schools we were told to use 10W30 due to Kohler using hydraulic lifters and told straight 30 would cause issues with the lifter and cam.
Until I retired (medical, I wish I was still working) 5 years ago when we serviced an engine we used 10W30 in Kohler Commands, and Honda engines and 30 in everything else, Briggs, Kawasaki, Generac etc. and 5w 30 in snowblowers.
Oil for Command pro 62 590 09 Rev. --
Oil Recommendations
Synthetic oil is recommended for use in LPG/
NG fueled engines. We recommend use of
Kohler oils for best performance. Other highquality
detergent oils (including synthetic) of
API (American Petroleum Institute) service
class SJ or higher are acceptable. Select
viscosity based on air temperature at time of
operation as shown in table below.
°F -20 0 20 32 40 50 60 80 100
°C -30 -20 -10 0 10 20 30 40
So it appears even the Comands can now use 30 as well.