I do have to say, it's good that Google is encouraging people to take security precautions. People need to start taking security much more seriously than they do. Especially with mobile devices, since Android and IOS both come with malware pre-installed.
On the other hand, trusting Google with your data is always a bad move: Google loves to spy on everyone, and probably has no problems sharing that data with the NSA.
If you really want security and online storage, you're probably better off compressing your files with something like 7-Zip, which can compress your data and make it harder for the likes of Google to know what you are storing in one go. Upload/download times will be reduced as well. Don't forget to encrypt file names as well.
Or you could just avoid sharing your data with Google in the first place. USB HDDs are cheaper than ever, so if you pay for storage, it will probably be cheaper in the long run to buy a hard drive. Even if you are getting free storage, it still isn't worth it, since you can get the same storage from a flash drive, which will only cost a handful of pocket change.