Well, considering my post here didn't help, I kept looking for a solution, and found the following page:
https://documentation.help/Wwise-UE4-Integration/using__features__waapi.html
Here's the specific info relevant to solving the issue:
The Audiokinetic Unreal integration is set to automatically connect to WAAPI. In order to disable this functionality, the "Auto Connect to WAAPI" check box should be unchecked in the Wwise Plugin Settings menu. This menu is accessible from the Unreal project settings menu (Edit->Project Settings...). In the left panel, scroll down to the Plugins section and click on Wwise.
The info is somewhat outdated since, in Unreal Engine 5.1, there is now a separate group for Wwise after all the other plugins listed. The specific settings to change are in the Wwise->User Settings section.
These settings in UE5 will enable/disable live sync/updating of assets between Wwise and UE5. This should solve a number of issues with changes falling out of sync due to having both Wwise and UE open at the same time, and making various changes in Wwise that fail to properly sync due to either a confirmation dialog in UE awaiting a response, or for some other reason.
I just wish it were possible to toggle the sync on/off without needing to relaunch the UE each time. Hopefully this functionality can be added in a future update.