Since about the age of 16 and for nearly for 30 years since I was an avid consumer of news, particularly daily newspapers. This seemed normal to me. My father read the newspaper everyday. My paradigm was that successful people get up early and read at least 1 if not 2 papers from cover to cover everyday. So that is what I did for nearly 30 years.
In his book The 4-hour Work Week Tim Ferriss suggests that we adopt a low information diet and that we practice selective ignorance. About the same time as I first read this book (July 2007) my wife was critical of me for reading the newspaper in the morning over breakfast rather than talking to my children.
I not feel that I in the last 3 years had missed anything of significance. In some ways I think have been much more attentive because you only pay attention to the things that are significant. But then rather than just relying on the newspaper for further information on something of significance you may well look at other information sources.
I now look at the evening tv news later that evening or sometimes days later. I am now quite prepared to just delete the entire news if the headlines in the opening summary do not reve anything of interest.
I also savour the weekly Economist magazine and I find that their 2-page summary of international affairs provides me with a much better overview of what mattered in the world last week.
I encourage you to try the low information diet.