Yes, that's it exactly. Space-based telescopes don't need the filtering to correct for the atmosphere. It would have no effect on a space telescope to try to correct for atmosphere. But it turns out that the
huge cost of boosting something into orbit, and the difficulties of servicing it there, make ground based telescopes with the correction system seem a pretty good deal.
And as already pointed out, oleg, there is an interferometer in the works.
