Really? I don't really mind the tail split, I think it looks like a heart :) But I am a bit more turned off by them since they are more prone to swim bladder disease...and yet I still got another one, hahaha.
Well, my current DT has finnage really similar to yours and he looks like this when he's...kinda flaring (have yet to see him do a full-on flare because the floating plants are obscuring my view).
I don't think yours is a HMDT because they seem to have really heavy finnage, but then again, I'm super bad at telling whether or not bettas are halfmoons or not. XD
Here's a picture of a HMDT for comparison: