Just about anything that can connect to the internet is a potential privacy nightmare. I assume that by specifying "webapps" you're making a comparison to nativ

Just about anything that can connect to the internet is a potential privacy nightmare. I assume that by specifying "webapps" you're making a comparison to native apps. Configure your browser to block 3rd party cookies and you'll be fine. It's nice to have the private window privacy feature. That's a standard feature of web browsers, but I don't know of any consumer operating system that makes this easy for native apps.