D Fissure vs Monster traps

So, D fissure doesn't remove xyz material when they're detached or when the xyz monster is destroyed cuz they're not monsters anymore. Similar ruling is true for union monsters (say targeted by MST).

My question is: If i attack a trap monster and destroy it in battle, is that trap banished because it was a mosnter at that point? Or is that not the case because a trap-monster keeps its association with its trap zone?
On a similar note, and if the answer to my question is yes, what if i MST that trap monster?

It is sent to the grave as a trap.
Shura will not meet its trigger if it destroys a trap monster by battle.