...No. If the pre-conquest Irish practiced slavery, that's irrelevant to the discussion at hand. They had private law, privately enforced, and voluntarily selected their military leadership (and could switch at any time - effectively de Molinari's competing governments), which did not have territorial monopoly. That's AnCap.
Slavery was practiced in post-revolution America, after all, and that doesn't stop people like MoonShadow from holding it up as the ideal of liberty. (It was pretty damn good, despite slavery and mysogynistic practices. Nobody's perfect.)