No idea what a “Lindy” is.
Om not sure I’m understanding your connections. Is the optical connected between the PLAYBASE and the TV or the V6 (whatever that is?)
I would be checking what format the Firestick is sending, as well as the settings on the TV. The TV’s speakers are playing the stereo stream, which likely goes through a different path in the electronics than the Dolby Digital signal. If there’s anything in the TV ‘messing’ with that Dolby Digital stream, it can delay it for processing.
There are some TVs that don’t seem to send a Dolby Digital stream through from an HDMI input without slightly delaying it. I’d certainly recommend checking the TV for updates to the software it’s running. Some models seem to have fixed that issue with newer updates, some have not. The curious thing to me is that it is only the Firestick you’re having issues with, which suggests that there is something different about the stream from the Firestick.