Balrog Action Die when WK is killed?

[perry]

The Balrog is mustered (+1 action die for SP)
The WK has been mustered (+1 action die for SP due to WK, but -1 action die b/c of Balrog losing its die)

Then the WK is then killed.

The rules state that the Balrog does not add a die, "if the WK is in play".

Will the Balrog again provide +1 Action die to the SP???

[Krieghund]

Yes. The same is true of Galadriel and Gandalf the White.