So you buy a VHS (or beta or Video2000.. 'tis the 80's, after all), get home, and then curse the heavens that The Corporate Man is keeping you down by not allowing you to magically play back that same video on both TVs, just for the pathetic excuse they bring forth that you would need a 2nd VCR? .. probably not. You'd just eventually get another VCR.
Actually, back in those days, it would be trivial to split the video signal coming out of the VCR and run cables across the house to the second TV(or lazier/cheaper yet, use the RF output for 1 tv, and the composite output for the second TV). I know many people who did just this to avoid buying a second VCR, back when they were still expensive enough for it to matter. The major difficulty was that you couldn't control the VCR from the other room, but the FBI warning and previews gave you plenty of time to press play and walk across the house, get some popcorn, etc.
Now, with modern consumer electronics, it is equally trivially possible to copy your entire movie library onto some networked storage, and play them back from a device anywhere on the network, thus only needing 1 Bluray drive for the house. The only thing in the way are the artificial limitations imposed by DRM.
I guess my point is that how we view these things has not truly changed. There is no "changed mindset that came with going digital"; what can be trivially done with inexpensive consumer electronics is all that has changed.