I don’t think Ireland could care less what the Vatican thinks at this point. By your reckoning, does every member of the UN surrender its independence?
Basically, yes they do. Alger Hiss patterned the UN Charter after the 1936 USSR constitution for one purpose, and that was to make it the stepping stone to a one-world tyrannical government. The USSR’s influence within the UN cannot be denied, especially their negative influence on the USA with its veto power; the Islamic bloc and Red China take their cues from that legacy, as does Putin today. (I hope the mention of the UN does not bespeak some kind of inordinate trust in that entity?)
By your reckoning, does every member of the UN surrender its independence?