Update:
After I sent a very pointed email to the shop, wouldn't you know it a day later I got a "Your bike is ready" message.
Arrived at the shop and they told me that a new screen was sent and they installed it and all was good.
The story is that if the warranty guy didn't have a part to fix the complaint he wouldn't respond until he did.
My point to them was, "Well, if he could diagnose the issue from the symptoms why not just send you a message saying, 'You need this part, but it isn't available yet' so then we'd all know what was going on. A lot easier to deal with it then knowing what was going on rather than this song and dance we'd just been through.
They just shrugged their shoulders.
Anyway, hopefully I can just ride now.
Confidence is a bit shaken on the whole thing, but here's hoping all goes well from hereon in.