I guarantee that nobody cares about or will be surveilling your private AI use unless you're doing other things that warrant surveillance.
The reason big providers suck, as OpenAI is so nicely demonstrating for us, is that they retain everything, the user is the product, and court cases, other situations can unmask and expose everything you do on a platform to third parties. This country seriously needs a digital bill of rights.
The biggest game in town has been managing platforms that give owners an information advantage. But at least the world generally trusts the USA to abide by laws and user agreements, which is why, to my mind, the USA retains the near monopoly on information platforms.
I personally wouldn’t trust a UK platform for example, being a Brit native. The top echelon talent pool is so small and incestuous I don’t believe I would experience a fair playing field if a business of mine passed a certain size of national reach/importance.
EDIT: from ChatGPT, new money entrepreneurs with no inheritence/political ties by economic region, USA ~63%, UK/HongKong/Singapore ~45%, Emerging Markets ~35%, EU ~22%, Russia ~10%