I was trading heavily on localbitcoins for years, in person trades and money transfer services and I never had to fill out any KYC forms. Never sent in ID, or any identifying information outside of a phone number that I used to talk to buyers and sellers. Not sure why you feel there was no privacy? Localbitcoins staff having Access to the communications on the site during the open trades? I found it extremely useful to have a web of trust with people I traded big amounts of coin with and I liked an effective escrow system for money transfer trades.
I was previously unaware of kycnot.me I'll look through the site, thank you for the recommendation.
Localbitcoins used to be no KYC P2P platform, but now isn't not anymore. I think you're talk about few years ago and it's already a lot change of less KYC centralized exchange, turn out become KYC exchange.
In 2019, you can use LBC with T0 tier which consist of your full name, country of residence, email address and phone number, with limit 1,000 Euros/year.
But now there's no T0 anymore, the minimum is T1 tier where you need to submit your physical address check, ID verification and KYC info.