One of the problems of trying to read a newspaper on an electronic device is that you miss stuff by not just turning the pages one after another. Now, you select the topics of greatest interest and just look at that.
I don't really get this argument. If you're interested in, say, New York theatre, you can choose the "theatre" topic on the NYTimes site (or sign up for the theatre newsletter) and read the news daily. Will you get EVERY SINGLE BIT of news going on in theatreland? No... but then, you didn't when only the "real" print edition existed, either!
In any event, the Times had a big piece on the Delacorte renovation last Oct./Nov. As for their "increasingly misleading headlines" -- well, it was "A Restoration for Shakespeare’s Home in Central Park." You can hardly accuse them of burying the lede!