This is the response I just got from AE:
Unfortunately earlier in 2022, Shopify decided that they did not want to integrate with any software that was not web-based. The decision was made suddenly, without notice. This effectively killed the sync script we initially created, while leaving us no time to develop a solution before the decision went into effect. As soon as we were aware of this, we started working on a web-based replacement version, but new scripts take time to develop.
We’ve had a difficult time getting Account Edge re-approved and determined that long-term we needed to make a change. We are actively working on another solution, moving the integration to a Shopify online connector later this year or early 2024. This will result in a cleaner integration, with data being synced down to Account Edge on the desktop.