Basically what it says on the tin. One of my X200 systems works with flashrom's internal programmer, as expected, but a recently acquired one does not, I get the error about unsupported laptop. Using the laptop:force_I_want_a_brick option seems to work, I've used it to update a few times.
Attached are the requested command outputs, dmidecode and lspci -nn. System is currently running Libreboot beta. Flashrom version tested was 0.9.9 on several distros.
If there's any other info required feel free to request it. Thanks.