No, really, you shouldn't. We do not know what they are going to 'monopolize' yet. A patent application, even if published, is not enforceable, it is not a patent. I could file an application today claiming to have invented the wheel, and 18 months from now it would publish as an official looking patent publication. It means literally nothing.

Because of the way US patents work, it really is a "We should file these so somebody else doesn't claim-jump them and put us in the position of defensively proving prior art" system.

As a deep-pocket company, Google can afford to file patents and has a track record of being responsible about them in the community. It makes about as much sense to be mad at DeepMind for not filing them.