There's a strong chance you would have to hang about by a hospital bed with wife in agony/baby dying - waiting for the right doctor to be found, the OR to be prepared, the team to scrub up, etc etc. There is a usually a delay between requesting even the most emergency of emergency procedures (especially ones involving complicated kit/specific people; which is what we are talking about because midwives have the easy kit with them and lots of training) and actually receiving the procedure.

How that delay compares to the time spent waiting for / in an ambulance depends of course on where exactly you live.