+∞ on Rema Tip Top patches. They work reliably, they're inexpensive, and they last practically forever. I've got some tubes that were probably patched a few decades ago that still hold air. And some of the guys in the Classic & Vintage forum are probably riding on Rema patches older than I am.

...although, with that said, the Sunlite patch kit should probably work, too, so long as you're prepping properly. Sand the tube around the hole, apply glue or vulcanizing fluid, let it sit 'til dry and tacky, then remove the patch's foil backing and apply. If the patch has a clear plastic film, consider leaving it in place so you don't peel up the patch trying to remove it. Install the tire, inflate, and ride.