I also love to use and prefer native apps. But, in my case, I had to offer Google Docs to my dad. Because he wanted to transfer his doc file to his work computer to continue to work on it when he is at the office. So, I thought a web app might be good for him.
My dad didn't want to pay for the Office. I might ended my story badly. Sorry about that. But, I don't agree with that the SaaS is not related. It is. API optimization is also important and it can directly affect the performance of web apps and even native apps.