That's not too unlikely, if by "Drive" you mean the desktop sync application, which pretty clearly has always been pretty tangential to the strategic purpose of Drive, which is first and foremost a cloud storage platform for web apps (Google first-party apps, institutional customer second-party apps, and ISV third-party apps).
So I trust that Dropbox _will_ be out of business very soon.
Google's advantage is that they can slowly eat away at Dropbox's market share by integrating Google Drive with and marketing it through their other products.
Dropbox's advantage is their existing customer base.
In time I think Google's got the upper hand on this one.
while I agree with you in principle, there's also quite a lot more people who simply are happy (relieved, even) that they can make the computer help them perform the task they want to accomplish. I'm not even saying that Dropbox or Google is better at this, just that I see people use every day just what's right in front of them and they know they can make work. and because of that they don't seem to have the luxury (even if they have the foresight) of considering what will stick around for longest (or perhaps what's idealistically "right" to choose).
again, I'm not defending this situation. but it does seem (to me) that the majority of people are motivated by this, and cannot afford or consider decisions like whether or not to "simply not trust Google".