Only if you use these services. They are offering integration with them, far from forcing you to use them. And if you were already using them these features are an amazing boon and don't affect your privacy at all.
Using cloud based apps may affect your privacy but that is independent of this.
"Using cloud based apps may affect your privacy but that is independent of this."
Yes, you're probably right. But will ubuntu be developing code for specific apps like gmail and twitter or will that be codded by the web app developers? If it's the former than you'll probably not have many choices.
Regardless of who writes the code, as you can clearly see the browser prompts you to allow integration for each service that has it. If you don't want desktop integration, don't click yes.
Using cloud based apps may affect your privacy but that is independent of this.