If Google cared about RSS, they would have had RSS support in Chrome. They don't have it to this date. When Chrome launched other browsers had RSS support of some sort.
Are you sure? I distinctively remember them announcing it and being promptly mocked by people asking when was the date they were going to kill it. Did they abandon the desktop version before a stable release?
I believe you (I don’t use Chrome) but that doesn’t mean the support isn’t there. It could just be that it’s not on by default or that you need to add feeds manually.