Chromebooks are a sneaky attempt by Google to get you to become further invested in their cloud services. It feels like they're just licensing you one of their hard drives so they can have your information.
Well than they succeeded considering I just had a HD than computer failure (not chromebook, main desktop) and all my family photos are safe as I had them backup to their cloud services which I get 100gb for 2yr with purchase of my $250 laptop (the laptop itself was worth every penny and than some, the service is just icing on the cake). I didn't have to worry about if my backups are fully up to date, etc as I have that folder auto sync and my phone auto sync to google drive. So now my only concern is how long that download will be as it will probably take 1-2 days on my network connection. Thats a good trade off in my opinion.
So yes they have my information, and my family photos but to be blunt they already had all the information prior to my chromebook purchase. Now they just have some lovely pictures of my family and dogs to go along with it.
Do I care that companies have my information? Yes. But I like taking the more realistic approach and just making sure that companies don't have any sensitive information they don't need and if I don't think they need any information about me than I just give them false information.