Since it is SN/GF-5 I doubt it has higher levels of Zinc. Most small engine oils I've seen (Briggs, Kohler, etc) really aren't anything special compared to other available oils.
With that said, high levels of Zinc really aren't needed in small engines. Yes, they have flat tappet cams, but the valve spring pressures are very low. So low that you can push the valves open on an OHV engine with your hand most of the time. If it is a snowblower engine, run any good 5w30. Synthetic, conventional, etc, it will all work. 10w30 will be fine too. Any other small engine that sees summer use I like to run a HDEO 5w40 or 15w40 just because they seem to hold up better to burn off.