Changed my mind. I decided to install Sailfish on the Sony Xperia 10 III.
It was plain sailing.
I guess, things only become difficult when things go wrong, and things went very smoothly.
In brief, I unlocked the bootloader, and downloaded Android 12 from Sony. I flashed that to the Xperia (11 wasn't available). I performed all the usual 'phone stuff, which worked. I then flashed the 'phone with Sailfish using fastboot.
The same things are still working.