Caption: A diagram of the triple-alpha process.
An anthropic principle legend:
This resonance reaction was discovered soon thereafter by experiment (see Wikipedia: Triple-alpha process: Discovery).
But Fred Hoyle did NOT use anthropic principle reasoning in presenting his hypothesis nor does it seem to have been in his thoughts in 1953 (see Helge Kragh, 2010, "When is a prediction anthropic? Fred Hoyle and the 7.65 MeV carbon resonance").
A hypothetical person could have used anthropic principle to predict the triple-alpha process, but none did.
So the prediction of the triple-alpha process CANNOT be used for arguing for for anthropic principle as a useful scientific principle for discovery.