Depends:
On my Gaming-PC: Very important. I have a 1080p 24'' screen and sitting only like 0.5m away I think that even that is pixelated and so I plan to buy a 1440p 27'' screen at some point.
With consoles: I'm sitting ~3m away from a 42''-TV and can't notice any difference between 720p and 1080p. Even 540p is hard to distinguish from 720p.
But: Nextgen consoles will be there for a while, and I will most likely get a bigger screen or a HMD at some point during their lifecycles. So I hope that there at least won't be any rendering resolutions below 720p this time.







