I'm bit late to this, but it might something to do with Blitz Mine being counted as a projectile, I did this Loganir's Wonder Woman and she also reflected it with Amazon Aegis (as well causing Murakumo to not use it at all) (mind you I also used her on Duracelleur's Re-hyped Ken and I found out that his Fire Hadoken counts as a melee attack and not a projectile one, that said DON'T use how Duracelleur did it)

Look inside the two different Mine's HitDefs.
You can also clear up that debug flood. It's looking for state 1001?  It's hard to read.

But basically, it seems like Rugal's reflector is programmed to not interfere with Hyper Projectiles. You could take the super easy route and make the normal mine pretend to be a hyper move. You can just change the HitDef value and see if that works.
 
If Rugal's reflector is coded well, there's probably not much you could do if the Mine is an actual projectile outside of recoding it as a helper. I mean it already seems like it's a helper but the helper could be spawning a stationary projectile?

imho, I think it's actually a positive that Rugal can transform the mine into a projectile. But I'm unfamiliar with Murakumo.