What makes you think sending data to the Claude API is a breach of privacy? Do you not trust them when they say they won't look at or train on your data?
I've also been following Anthropic pretty closely for the last two years and I've seen no evidence that they would break their principles here and plenty of evidence of how far they go to respect the privacy of their users: https://simonwillison.net/2024/Dec/12/clio/
But how is that a personal advantage? Who are you in competition with against yourself? Maybe I'm parsing competive advantage in a different context than you mean.
I guess I'm competing against other humans at living a fulfilling, enjoyable life?
I don't take that competitive advantage particularly seriously, which is why I invest so much effort giving away what I've learned along the way for free.