Jonathan Bernstein believes so:
Republicans this cycle had three candidates who made it as far as the televised debates who were plausible nominees because they held mainstream conservative views on public policy and had conventional credentials: Mitt Romney, Rick Perry and Tim Pawlenty. The latter two were rapidly eliminated, at least in part because party actors turned against them after mediocre or worse debate performances. Were they correct? If Mitt Romney turns out to be a poor general election candidate or, should he be elected, an unreliably conservative president, those party actors may very much regret that they turned to the debates for vetting. If they are foolish enough to give Newt Gingrich the nomination because he proved to be a better debater than Romney, they’ll regret it even more.