None of this is a complaint, I'm hugely impressed with the architecture of TinyCore. I'm exploring how to progress.
The WiFi is now up and running but I did have to borrow a monitor. And a keyboard. I still don't know how to achieve a headless install on a Pi. If I have an otherwise idle day I'll try that bit again and come back here with a recipe, or if anyone has ever done it they might have one already to hand, but so far I've not found one.
Part of the learning curve is pulling in the dependencies while not having an Internet connection. I'm sure there's a way to tell the tce- utilities that the .tcz packages are mirrored to a local directory on partition 2 but I've not found how to do that either. Nor have I found the script on here which lets you install onto the SD card while it's inserted in an existing Linux environment. I practiced before I did the WiFi part by bringing up nano and mc for convenience, and that took ten additional packages to get them running (which is fine and proper, I didn't wince and it wasn't painful).
I need to make a choice now. Having studied the repo, I reckon a webserver will involve compiling. To make the most of the Pi Zero I think the right components are PHP8, lighttp and mariaDB, and they're heavyweight compiles.
TinyCore is the only way I've found to eliminate the long-term destructive load on an SD card, but I did have an alternative in mind if I couldn't manage this. I could strap an external M.2 NVMe SSD to the Pi Zero and run Raspbian like I did last year, with precompiled packages instead of compiling it all up, and not have an SD card at all.
I'm hesitant about the compiles because the only source will be the package maintainer version, there is no tailored source for the distribution. That's something I've never tried before. For a trivially small package I'd not feel intimidated but these three are all major beasts.
So, a question before I give it a try. Has anyone here any experience in bringing up a TinyCore webserver? I brief description would be very welcome. I've seen a lightweight static webserver package in the repo but I can't hang PHP or a database on it, and I need both.