Board Thread:Antaeus' Arena: Audience Chamber/@comment-1515612-20170817151724/@comment-29068459-20170828043330

If both of them have the Curse of Achilles, Percy wins in an uphill battle. What we would essentially have is a Percy vs Hyperion. Luke has always been the better swordsman (Percy doesn't really train between summers), and Luke would be Wielding Backbiter, so he could possibly still do damage to Percy. However, Percy would tap into his water abilities, which Luke has no defense against, and I suppose Percy would just drown Luke, as that is the only way to kill him.

If Percy has the Curse and Luke doesn't, then it's a stomp. Luke couldn't beat Ares, whereas Curse Percy essentially speedblitzed Hades.

As for HoO (assuming neither have the Curse), now that is an interesting fight. Percy seems to have stagnated in swordsmanship since TLO (he even says as much in MoA). Thus Luke would have a swordplay advantage. And Percy has shown that if his opponent keeps up the pressure (like Chrysaor), Percy won't have time to focus on his water abilities. Honestly, Luke is just such a good swordsman that unless you are Nico and can turn him into a ghost, you have to be as good a swordsman as him to beat him, no matter your powers.

Tl;dr TLO Percy vs BoL Luke (both have Curse): Percy wins HoO Percy vs non-Curse Luke: Luke wins