False Hope is better.
No Hope people give up on getting any better and just try to make their current world comfortable (which is okay).
False Hope... it may be false, but they are moving forward. And let's put it this way: If death meant turning into nothingness (no afterlife whatsoever), who wasted their lives? The one who died doing nothing because they accepted there was no hope? Or the one who reached a "delusional" form of enlightenment and died with a smile on their face?
Even if the one with no hope accomplished more in their lives (and many will remember them), what's the point if they found no satisfaction at the end of their lives? They leave behind a life where their accomplishments will never be their own (as it will only belong to the memory of them).
The one with false hopes, even with the lack of accomplishments, has led a happier and more fulfilled life than the other.
Can it be considered delusion?
And what if they were right? What if your beliefs determine where you end up? How sad it would be that many have willed themselves into nothingness.
But let's not get into that:
It depends on your point of view at this point - do you consider one with no hope a realist or a pessimist?
A realist thinks on logic and refuses the emotional reaction of the meaning of life.
A pessimist uses logic to encourage their emotional reaction to the meaning of life.
To a realist, those with false hopes waste their life. However, without their emotional reaction - how is their life different from an advanced A.I.? Their life is about as useless as an inanimate object, yet they deny to feel negative emotions towards that.
To a pessimist, those with false hopes depress them. They seek to bring them down to their level of pessimism... what they don't realize: Is that won't accomplish ANYTHING at all. Certain pessimists will become desperate, some will play off their lives cool, but in the end they all die sad.
I'm not saying that they didn't find comfort in their lives, but if one were to truly think about it: Whatever emotional high they've experienced in their lives (from love, to having a child, etc) would mean nothing in the end. They were living just to have a great ride. ...in that sense, it might have been more productive for them to make all the wrong choices.
One with False Hope though, delusional as they are, are ignorant of the nothing-end. ...and does that halt them from their action at all? How does removing their hope help them in any way? It does nothing to better their benefits to humanity, as many of them would rarely give more if they knew nothing awaited them.
But again... this is all in the idea if there is no such thing to hope for.
And realize this: hope is hope. In the end, there's no such thing as "False Hope". Hope can be placed on something that can be true most times, but can still end with a false answer.
In the same sense: In a universe of infinite possibilities - hope for something that "doesn't exist" is still good - as all things can exist in a world of infinite possibilities (though the probability is low, but hey: Hope doesn't run on probability, it runs on possibility).