Yes monero provide more privacy but the anonymity bitcoin can provide will be enough if you are not involved in some illegal activity. But if you need full privacy yes monero will be good choice than bitcoin.
In fact, fiat provides better privacy than bitcoin. Several years ago, I wrote a book, put it up for free, and provided a link for people to donate some bitcoin if they liked it. It was downloaded several hundreds of times per week, and I never got the slightest donation. What is, at some point, embarrassing, is that everyone can see this. They just have to check the bitcoin address, and find out that there has only been one transaction to it (my own, where I tested the link).
Worse, as people know my name (it's on the book), I didn't realize that they could trace back my initial test donation to several addresses of my wallet. In fact, me putting up this link made much of my own bitcoin handling visible to all of the world, with my name attached to it (through return addresses and links).
Bitcoin is a privacy nightmare. Fiat is much better at that. Only your bank knows.
