Nope, up stroke is compression damping.
Down stroke is rebound damping. If you wind too much rebound restriction on, the wheel won't return to the ground quick enough AFTER its hit a bump. So outside wheel will be affectively off the ground in extreme cases, so the tyre will spin and cut up badly. The inside wheel will be less loaded and as another down side, could in extreme cases pump itself into full compression as the stroke can't recover.
Your also into high and low speed compression damping to sort roll. Increasing compression damping stiffens the up stroke. So will reduce roll, but at the expense of ride over small bumps within the corner, and to a lesser extent, at all other times.
In short, if it's genuinely rolling too much you need stiffer springs. ESP in the absence of a stiffer roll bar, which would appear to be the case.
Tbh it should be possible to achieve all you need with springs and dampers.
Is there a problem with body roll? How much roll would you consider acceptable? Zero roll is not healthy it seems to me. I'd expect other ares to be heavily compromised tbh.