In general, FTL drives are inserted because the author wants to have fast travel to other stars. I don't think there has been any significant change in the science regarding psychic powers or FTL between 1930 and today.
I think if the author is using Alcubierre Warp Drive with some explanation of how current issues have been dealt with, I'll buy it as hard SF. If copper-blood Vulcans are interbreeding with iron-blood humans but there is a 'scientific' explanation, I'll buy it as soft SF. If a magical Force permeates the Galaxy, it's probably sci-fantasy.
For 'very hard SF' I'm probably looking at a setting with no FTL, no time travel into the past, no psychic powers, and sticking to extrapolations of known technology.
Yet I know that in 50 years that super-Hard setting won't really look any more realistic than a pulp fantasy.