I just now tried a "MS-DOS 7.1" boot floppy with a USB floppy drive. I was able to wipe and repartition the DOM with FDISK then reboot and format c: /s then reboot to a DOS prompt off the DOM.
Then I tried the Lite USB install of the latest FreeDOS, same exact failure as before.
I have made Windows CE and WYSE Linux installers. First I updated all three of my S30's to the last WYSE release of Windows CE, along with their BIOS.
Then I figured out how to put their Linux on one. They're locked to the OS they shipped with but knowing that WYSE offered an XP Embedded kit to upgrade any Sx0 (except the first version with soldered RAM) to S90, I figured there had to be a back door to cross-upgrade the OS. It's simple, there's a configuration file that's put on the USB stick, with a "key" that the install matches to what's embedded somewhere in the hardware. So to put WYSE Linux on an S30, just make both a WinCE and a Linux update stick then find the WinCE key and replace the Linux key with it.
I'd bet all the older WYSE thin clients are done the same way. WYSE ThinOS is a different beastie. That was the S10 model and ThinOS goes into the BIOS chip. the other models may or may not have a larger BIOS chip and in any case you just can't simply download the latest/last update for it.