-Removed-I'll just post it again for your enjoyment to reply to my question so I know I do understand you correctly:
Honestly,I have problems to understand what you are trying to say here.
I think you're trying to say:
Hard atheists deny the existence of god/gods/the supernatual.
But also not really because they do say they can be spiritual nevertheless.
But they are wrong because they don't understand what spirituality is.
Correct?