In that sense, it's almost ridiculously obvious why Hollywood doesn't like Netflix... it minimizes the "big screen experience". Imagine if we all replaced fine art galleries with mobile phone apps. Would anyone be surprised if masterworkers of paint and sculpture got upset about that? Of course not! They work on mediums that are designed to be experienced in a very specific spacial context. A director like Christopher Nolan, whether you like him or not, designs his movies specifically to be seen on 80ft wide projections with 100 speakers all around you. Anything less than that and, in his eyes, your mission is now to render his movie meaningless.
All this said, I really think the directors' gripes are misplaced. Netflix didn't kill theaters... theaters killed themselves. Rising prices, gouging on food, maintaining massive floorplans that require massive leases of land. If going to the theater to see a movie wasn't, by and large, a $50+ excursion for a family of 4 to eat garbage food and struggle to find seats then maybe we wouldn't all be staying at home?