Are you certain this is based on real science?
I don't think anybody's proposed that it is a likelyhood, but it could happen. Under the right conditions - in this case, a gas giant orbiting a neutron star inside of the Roche limit - you'd get an enormous toroid of gas in orbit around a star. It's own gravity would give a fairly substantial pressure towards the middle.
Because I've never heard the theory that a star could have a life-supporting atmosphere proposed before........
So? You had never heard of the two-slit experiment, either.
Could the atmosphere provide it?
No, the plant life provides it, like on our planet.
or do neutron stars not have solar wind?
Not to any significant degree. Their mass is so great that not much escapes their surface.
Also, could there be enough water there to support an ecosystem?
Well, the composition of gas giants is mostly hydrogen and oxygen, so yes, I imagine there would be.
wouldn't any atmosphere thick enough to support life get sucked right into the star?
No more than Earth gets sucked into the sun. The gas is in orbit.
I must've forgot that part of English class where they teach that any statement repeated or placed in all caps must be literal.......
It's called "emphasis." Why did you employ it if not to emphasize your meaning? You weren't speaking figuratively; you were using plain English. You didn't use some kind of metaphor that we misunderstood. Literality doesn't come into it. You said something that was flat-out wrong, and for some reason, you think its better to pretend you don't know how to speak English or are an idiot than to admit you made a bonehead mistake and let it go.
This doesn't give anyone much confidence that you're here to have discussions; you're just here to fuck around. That's pretty obvious, at this point.