Well,it was my repetition of your sad joke about reactionary aristocracy.Those dudes were Enlightened,and that is why France fall - only peasant fought for King.
And, England could mobilize army - but who would pay for that? When France only need to send some fast ships with guns and maybe muskets.Food and recruits would be there.
It would be bloody war without hope for quick victory.England would not go for it,if France do not attack neighbours anymore.
Yes,they could.Problem is - it still do not bring quick victory.They could,at best,retake part of island.
P.S in mentioned article Free Ireland would be not catholic state,so local protestants would support it,too.
One of them in this scenario even becomed irish President !
Ignoring the obvious delusions about the French revolution then:
a) Such an action would mean war with Britain which France can't afford.
b) Britain would be forced to fight because it couldn't afford Ireland as a French puppet on its western approaches.
c) It needs a lot more than a few muskets and powder, which would only last a short while anyway. As pointed out artillery isn't something that can easily be supported in Ireland without continued external aid. Also are you sure that an Ireland, even without an ongoing war, can feed itself?
d) Some Protestants supported, and even played a leading role in the rebellion. How long that would have lasted and how many are important questions.