I'd rather have a bank account with $10 that earns 15% per month, than an account with $1,000 that earns 2% per month.
Your pickup rate is only increased through constant, constant, constant practice and self-analysis/change.
More approaches means more practice which means more confidence which means better results per 100 approaches. Confidence and success RATE is all you should care about. Doesn't matter if it takes you 1000 approaches or 1000000 approaches. Do whatever it takes to get a high RATE of success, and you will have arrived.