For a long time manufacturers recommended their own oil, which looked strangely similar to high zinc diesel oil. So, it'd be fine to use for sure. Now the truth is that valves in small engines are not under any where near the load of a solid lifter racing engine, so is there a need for it? NO, that's been proven over and over. But it won't hurt.
I saw a post about using the best gas etc. I think that's hooey. I use pump gas and since I don't drain it over winter, I put stabilizer in it. My JD 425 is 25 years old and still has the original fuel hose, fuel pump etc, and it starts first time every time, so I guess pump gas (87 octane) works.