I would concede that as a Senator neither of them likely has the administrative experience that is clearly required for this job.
The difference being I am confident that Cruz is bright enough to pick that up.
Solicitor General of the state of Texas, 2003-2008 (longest-serving in history), associate deputy attorney general in the U.S. Justice Department and the director of policy planning at the U.S. Federal Trade Commission. Bet no one has mentioned those.