Now you just say "DRM this" and it does it, and you have the security issues whether you use DRM or not.
As a result, webpage owners might start DRMing things that were previously just not worth DRMing. Like images, text.
If you want to cite a news article in the future, you might have to type it off by hand instead of copy-pasting the part.
Also, just like DRM has done before, it's going to make content inaccessible for those who want to view that content at a later point with different technology, except that this time around it's not just going to be Netflix, it's going to be a good portion of the web.
So, yes, DRM has been part of the web for a long time, but how big that part is, is going to dramatically change.