Everything has it's cost. With Mullvad you do not even need an email address and such things. You can pay using crypto [Bitcoin]. It means if you know how to remove your fingerprints then even purchasing Mullvad is 100% privacy protected.
Disclaimer: Not a Mullvad marketing agent LOL
I am not 100% sure I want to remove my fingerprints entirely, but since I asked for a privacy-oriented VPN, I understand why you mention it. I am leaning more torwards finding something that will not keep logs (or at least keep minimum logs) and that will support some features like Double-VPN or TOR-over-VPN. You know, little things like that can help me be well private all the time and, super well private when I need it with the click of a button.