Yes, a scientific theory is generally considered 'correct' in a given context if it provides useful predictions (and of sufficient accuracy) for its target phenomena within that context. So classical mechanics can be considered 'correct' in the context of the non-relativistic velocities of everyday experience.The only philosophical significance is that one can readily correlate the benefits and value of science to the efficacy of the products thus produced from that system.
Faith healing, being much older than what we consider to be "science" cannot be correlated with success of that "method" above and beyond statistical random chance.
So I don't see any real "issue" with saying that because things generated by scientific research work more often than not means science is "correct". Perhaps maladroitly worded, but still not a significant problem.
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