I agree, as I’ve already said, that’s it’s improbable in the extreme. Not, however, impossible: Cyprus and Malta, after all, find no problem, apparently, with membership both of the EU and the Commonwealth. Both are republics.
Neither Cyprus nor Malta is Ireland, though. The Emerald Isle has that unique (to say the least) character to it that neither Cypriots nor Maltese possess, especially having animosity dating back to Dermot Mac Murrough’s “selling out” to Henry II, which led to Strongbow’s eventual conquest (although this was all authorized by Pope Alexander III).
The Easter Rising, sad to say, was an inspiration for Lenin’s Bolshevik Revolution (at least via his “comrade” in that rebellion, James Connolly).