Third Eye option should be fine. Trance's would sparkle and Kanako's would uh do something else.
Thoughtless Flurry... I think could be more thoughtless. You could have your options spiral around you Genetics-style (well, as ovals). I do have an idea.
Four options glued together, with one constantly changing orbital. The options rotate themselves. They fire in the direction they're facing, and then the shots curve so that they all fire forwards in one way or another. I'll make a picture.
GpopA bomb idea sounds great, but maybe name it differently? You're not underground and 'Nako should play a part.
As for Embers of Love (once again, should rename), going with previous ideas, you could have Youmu/Aya-style options where it fires based on where you went last. Although, all four options could be
glued together in a line like this. Those options fire peenmaku. That'd be awesome. High power for gimmick-reward.
I see Freud Was Right as more of ReimuA bomb, yeah. Although ReimuA's bomb was a bit too hax, so maybe a big imaginary circle appears around where you bombed, and slowly shrinks. You're invincible inside the circle, and when it gets to a certain size the screen clears.
I put too much thought into these things :x
