Did you get the fish from live aquaria /divers den? We have been seeing a lot of anthias with Uronema coming in....my Waitei anthias had it. If that rot spreads and starts to get larger, and then you see some of the scales peel away, and it looks like like a small hole....well then Uronema is a possibility.
I had dosed Seachem Metro, but since it acts so quickly, I wasn't able to save the fish. All three of my anthias died in a few days. I didn't have formalin on hand at the time, but I will now start doing formalin dips either before the TTM, or right after the TTM before they hit my QT. I'm no expert, but just sharing my experience. Keep a close eye on it, and maybe look into buying Metro and Formalin to keep on hand just in case.
Just an FYI...my Anthias were always eating during the time until they died.