When I got into the car this morning the Pilot Screen was finally unfrozen and I was able to verity that the car now has 1.1.2 loaded into it. However, Alexa had disappeared. (For a minute I thought that might actually be an improvement, but then I decided I needed to find out what happened.)
I called Customer Service, and they told me that downloading 1.1.2 had logged some customers out of Alexa and Tidal. I went into the "Applications" menu and found I was still logged in to both. We finally got Alexa back by turning off each feature in the Alexa menu and turning it back on.
I was unable to determine what changes 1.1.2 made to the operation of the car. (One thing it didn't improve was Homelink's operation.) But I see that 1.1.3 is already in the queue for an OTA update, although I haven't yet been since a prompt to do so. The release notes on both versions only show "minor improvements" and give no specifics.
An interesting side note: During my phone call with Lucid, which I was making from the Air while on the road, I was following our Honda Odyssey which was being taken in for service. My phone call with Lucid was playing over the Honda's audio system even with another car between us. That's some Bluetooth range.