Condorcet selects a single candidate from a list. It would in principle work to select the US President, or a British MP but it can't be used in these seat-filling applications.
Notice also that Condorcet's criterion itself does _nothing_ when there's a draw, and draws are common for highly contested elections under Condorcet. You have to add a fix-up on top of Condorcet if you would like to elect somebody rather than tell the electorate "too bad, you did not make a clear choice between these candidates". When using these fix-ups the complete electoral system is no longer "fair" in the specific sense that Condorcet is fair.
Finally, though least problematic considering the electorate in this case, Condorcet is relatively difficult to explain and the fix-up is even harder. For democracy to be effective in its primary role (affording bloodless transitions of power) it must be transparent and a complex voting system is opaque to the average person. This is the unique advantage of FPTP, even young children with no arithmetic ability can understand who wins a FPTP election.