Odds are the rim tape wasn't the cause of your flats.
FWIW the rims profile is sort of like this I-__-I, with 2 shoulders where the tire fits, and a lower center where the spoke nipples sit. The correct tape will be the width of that center well. My personal preference has always been cloth surgical tape because it's cheap and effective.
As long as the spoke nipples are covered, and no spoke is poking through, that's not the problem.
Odds are your flats were caused by poor mounting technique, and not the rim tape.
__________________
FB
Chain-L site
An ounce of diagnosis is worth a pound of cure.
Just because I'm tired of arguing, doesn't mean you're right.
“One accurate measurement is worth a thousand expert opinions” - Adm Grace Murray Hopper - USN
WARNING, I'm from New York. Thin skinned people should maintain safe distance.