We shot one of the first indie HD films back in the day when the prosumer HD cameras first came out. Because we were one of the first feature films to shoot in HD we secured a national theatrical release.
If I was shooting a feature film today, I would do it in 4K. Because at some point in the near future theaters, NetFlix, Cable Networks, etc. will be acquiring all the 4K content they can get their hands on to please the millions that own 4K TVs. We aren't there yet... but it's coming.
As for online, 60FPS is hard to handle with the bandwidth most people have today, but that will soon change. YouTube just announced plans for supporting 4K with 60FPS.
I knew a photographer 15 years ago that shot a lot of stock images. He shot and saved everything at a resolution of 320x240 because hard drive space was "expensive" and that was a decent resolution for the time. Against my advice of shooting and saving at the highest resolution possible, He said those files sizes were big enough because they filled half his screen. Fast forward a few years later and monitor sizes have increased and his "big" pictures now look like thumbnails.
Thousands of his images and pictures are now obsolete because he didn't look towards the future.
But it depends on your clients. Are they shooting feature films, online content, or corporate stuff that will be shown once then never again?