Based on my last testing in my office, the Trio plugging in USB does automatically open up the folder and allows you to share content easily.
However, the Bluetooth is the same and only works for the first time.
The version I have tested was v5.4.3 rev AB.
I haven't tried v5.4.4 which I had been recommended by Polycom engineer to do so.
But since you had already done the same upgrade, there's no point for me to do so. And from the looks of it, it doesn't look like it's the software issues but more of hardware batch.
Any takes on this ?