Deck should absolutely Smoke Anything that does not have more than 320 hp. From behind, it kills Giratina.
For CPAO idk, but I dont think that getting a band is hard, and with band it ''OHKOs'' CPAO, or with Kieran, so i am not sure what you mean for these two MU.
Hands is an issue, but it should at least trade equally with it with the help of Kieran and if they ever whiff once, you just straight up win.
Indeed, one of the issue of the deck is how to ensure that stadium stays up and the lack of stadium search. I am theorizing that Roseanne can help with recyling. or the addition of a good draw engine could help as well. This will have to be tested for.
As for Lugia, For the same reason as Arceus, it feels like its a non issue. You kill their lugia, especially if went first. And then you simply win the prize trade from there. Not quite sure how it loses to that MU unless the deck turns out to be a complete brick, which I honestly dont think it will when you can CS up to 4 times a turn. Hope the opponnt plays only hand disruption i suppose