I think there will be a problem... There is no Linux client on the link you provided. Until amazon provides one, we are stuck (unless they use a standard protocol, which I highly doubt, though I didn't do any research on the way they handle it). Actually their OS X client is not available yet either. If their application is like crash plan and asks you where your photos are, you could point it to a share you made. Your computer will relay the file from the NAS to the amazon cloud. I have nothing better to suggest right now.
Amazon doesn't provide a linux kindle client, and selling books is a key part of their business. So I would be surprised to see a cloud client soon. However I also know that amazon prizes customer satisfaction. If enough people ask for it, maybe they would think about it. I'm not sure how much the android (or mac) client and the linux client would have in common, maybe that's not such a hard task to port it. It depends on the code used, the way the app is designed and packaged. I highly doubt they would provide the sources though... So at best a deb and an RPM package. That said I wouldn't count on it if I were you.
There is an API, https://developer.amazon.com/public/apis/experience/cloud-drive/content/developer-guide , so seems like it should be possible for the app to get written...
I've been looking at the REST API and got an app whitelisted with amazon. I was going to look for an open source backup tool that is modular enough to add this too, but to be honest, I then dragged and dropped my photos folders to the amazon windows app and it sucked up 90GB of photos in about 14 hours. (20Mb/s upload rate). I organize my photos by year so reloading the current year once in a while isn't a very big deal. Another option would be if I could automate it from windows I could do it from a vm on the NAS. So a schedulable windows tool would be OK too if someone knows of one.
Yes, for their new 60$ for unlimited space offer as well apparently. It seems like a natural complement for a NAS: https://www.amazon.com/clouddrive/home/
I just spent a few days fiddling to get Crashplan running on my machine, but if you can make a good app for Amazon I can set up and forget about, I'd be keen to use that and send a few bucks your way instead.
