This is not a 3.5" floppy drive!
It's a Mitsumi Quick Disk! The kind that was adapted into the Nintendo Famicom disks. I should have remembered that Smith-Corona used these drives for some of their systems.
Anyway, this is a Smith Corona PWP 220.
And our firmware is here, on an AM27C256 EPROM. 32 entire kilobytes.
And it's yet another eprom soldered to the motherboard, argh.
They wouldn't have room for a socket here (because it's under the shield) but they could have shoved it over on the left, where there's no shielding, surely?
There's a big chip from Motorola that says 761060 SCQ38124PI01 ZQHAE9102
No results, but there's a reddit post speculating this is some kind of IO controller. Possibly this is a custom ASIC, I believe Motorola had a product line for making those, as a sort of proto-FPGA service
Found an ebay listing for one.
https://www.ebay.com/itm/295124046576
The back of that monitor makes me think that yeah, it's an MDA monitor. Definitely not color.