It might not be soo bad. I currently have a 7 day weekly subscription to the New York Times which includes digital access. I have been trying to get use to viewing it via the web. I also have the app for my phone but I prefer the web version. The thing I see is that many of the articles are on the web DAYS before they hit print.
I just bought a Google Nexus 7 seven inch tablet which lets me view the paper via web in a larger format than my phone. This works for me because I like to read the paper at breakfast, and finish off what I didn't get to at dinner, so I can take the tablet to the dinner table and read instead of sitting in front of the computer.
So I will be reducing my NY times subscription to weekends only, and save some money.
It takes some getting use because articles and pictures are not always in the same place on the web as they appear in print(some printed pictures are actually snaps of the video that appears on the web) but it will work for me.