You misspelled 'guillotine'.
I've heard a few people remark about guillotines and it seems to miss the point.
Joseph-Ignace Guillotin's advocacy for the device was prompted by a desire for a more humane means of execution.
I think the desire here, though, is to send a message rather than simply carry out an execution in a painless manner - in which case breaking upon the wheel or hanging by chains in a gibbet are probably more effective.
I think the key point is "execution," specifically the execution of ruling elites by the people.