To simply call this plugin by its name, "Advanced Scene Switcher", doesn't do this piece of software nearly the justice it seriously deserves. It isn't JUST about changing scenes. It's about automation taken to the next level. The addition of Websockets support takes it to the next level, whether controlling it with a device like an Elgato Stream Deck or SAMMI or even from another OBS Studio instance on the same or even completely different computer, even from THAT OBS Studio's installation of Advanced Scene Switcher!
I don't think I use even the merest fraction of this software's capabilities, but I feel this plugin is a serious "must-have" if the user wants or needs any manner of automation, whether confined to the same computer or, in my case, a highly-distributed model.
You can use the "Scene" condition to check for the scene change and use the "Audio" action to set the "Sync offset" the desired value.
If that is not what you were looking for or you need support in setting this up, feel free to reach out in the plugin's discussion thread! :)