5 shots is not nearly enough. That would drive me crazy.
FWIW, I buy and use
English Knapped Flints in my T\C flinter. I haven't counted....but I'm going to say I get about 30 to 50 shots before I have to Knapp the flint and get further life out of it.
In addition....being a flinter for some time, I've purchased about 5 additional frizzens for my T\C. The T\C frizzens are not heat treated all the way through, so when the thin outer skin is worn off, they will quit sparking. Then I will replace it with a new one.
So...when I have 2 or 3 "bad" frizzens, I will send them to T\C with a note telling them they are bad, and they replace them for free.
But, I've had my best luck with these English Knapped Flints.
FWIW
Dave