Thanks for the feedback! I'm glad it worked!
I made a version of the plugin that intercepts the standard turn-based system actions and adapts them for summoning. I added a parameter to the plugin settings to enable this function and use the standard RPG MAKER turn behavior, either Active or Wait.
I uploaded it as a separate file (Kadajah_BattleSummon(TPB) because I haven't had time to properly test it before releasing it as a version update.
Could you test if it meets your needs? I will be conducting tests to release it as an update to the current version as soon as possible.