Bitcoin is such a bad payment method, even with Lightning network, because you need to buy a volatile asset and payment processors typically charge huge fees to receive BTC payments.
I didn't mean it in an ironic way if that's what you're referring to. I interpreted your statement to say "I don't want my search history connected to my credit card.", sorry if I misunderstood what you said.
If what you mean is you don't believe they are not connected to your account, I can point you to the FAQ entry on their website.