How do you not pay taxes in France? All income from French sources is still taxable in France whether you are resident there or not. Additionally income you bring into Thailand (by any means, not just via a bank) in any year where you spend 180 days or more in the country is assessable for Thai tax. Thailand and France have a Dual Tax Agreement so you can claim a credit for any tax you may or may not have paid in France on the money you bring in
"No, the Privilege Entry Visa is a long-term tourist visa and does not allow for any employment or work in the Kingdom. This includes working remotely for a non-Thai business."
The website you link to is not an official website, it's an agents website. Unless you can show me something official that says you can legally work remotely I'm going to stick with what I said.