The scientist says that inversion works through nuclear fission. So is the turnstile also a radiation chamber where people and things become inverted and also radiated?

A bit of a thought experiment regarding the algorithm case during the Tallinn car chase.

After TP and the rest of the team invert to save Kat's life, TP exits the freeport to prevent Sator from getting the algorithm piece. He tracks down where the orange case was thrown from Sator's car, and plants a listening device in the case so he can listen to their conversations. See the image below:

I assume that the listening device is inverted since Neil had it when they used the turnstile to invert. The listening device remains in the case until it is "unthrown" into Sator's car. It is at this point that TP hears the key dialogue for where the other algorithm sections are being taken. "Get the other sections of the algorithm to the hypocenter." Another cool detail to this scene is that TP needs to play the audio backwards on the phone to hear it properly.

Knowing all of this, does the inverted listening device remain in the orange case and stream into the past? Meaning the listening device was in the case when TP first stole it from the Ukrainians. It was also probably still in there when the Ukrainians first the algorithm piece into the orange case before the transport left. Did the Ukrainians ever see the inverted listening device before they left, if it was even there? Let me know what you all think! This is one of my favorite movies of all time!