A quick note about pre-mix ratios and air/fuel ratios (jetting)--they are related but
seperate issues and should be treated accordingly...
The more deluted the pre-mix ratio the richer the air/fuel ratio becomes. Conversely, the more saturated the pre-mix ratio the leaner the air/fuel ratio becomes. Lets take a 40:1 pre-mix ratio and a 20:1 pre-mix ratio as examples. With 40:1 you've got 40
parts gasoline and 1 part oil in every unit of fuel being metered by the carburetor. That's 97.5% fuel and 2.5% oil. If you change that to 20:1, now you've got 40
parts gasoline and 2
parts oil for every unit of metered fuel. That would be 95% fuel and 5% oil. In other words, with the 20:1 pre-mix you've got less fuel available for combustion which = a leaner air/fuel ratio.
If your carb is jetted correctly for a 40:1 pre-mix and you change to 20:1 you'll have to richen your carburetor jetting to maintain the same air/fuel ratio you had before. The difference isn't huge in the above example--maybe a 2-3% difference which might be 1 or 2 (or 3?) jet sizes. Rejetting for different pre-mix ratios mostly comes up for precisely tuned applications (racing engines or anyone who can realize small difference in jet sizes) or when making a big change in pre-mix ratios (like switching from a 60:1 synthetic pre-mix to a budget oil at 32:1).
"Lean/rich" pre-mix ratios should not be confused with lean or rich air/fuel ratios--two totally different things.
....carry on.
[edited for clarity]