There is a related SeriesGuide issue that may cause this (by asking Trakt multiple times to refresh the access token). But at least on my devices (and I guess for many other users) this hasn’t been an issue.
Regardless, I will work on a fix for this in the hope it is the underlying cause and update this once it’s ready.
After not seeing or hearing of any new issues, the 2025.1.2 fix release is now available to all devices.
If even after updating to the new version, SeriesGuide frequently asks you to re-connect your Trakt account, please turn on debug mode and the next time it happens send me your debug logs.