>>2834195>Sure but Shinji and Rei clearly bonded at a level beyond physical when his soul saved her soulThis is your assumption. Looking at other instances of telepathy in the series there is no evidence of telepathy lasting beyond the point where is has a physical medium.
Shinji connected with his mother beyond the physical when he body dissolved in Eva-01's core, yet there is no lasting mental link beyond that. Rei and Asuka were interrogated by Angels but had no lasting link once it ended. By your logic Asuka and Shinji had a telepathic link after exiting the sea in EoE, since they were both bonded beyond the physical during instrumentality.
In your webm it's stated the SDAT player is just like the glasses Rei treasures. Rei does not have a telepathic link with Gendo, that's not what Gendo's glasses represent in the series.