I find it a little hard to believe the only way DSK would have been able to be located was by the call to the hotel. Not with our database keeping ubergropemeisters on duty (even if the high horse diplomats get a pass from actual groping).
You assume 911 was called immediately, and the NYPD was on the case from the beginning. That's not how it unfolded. It wasn't until about 15:30 that the NYPD was really on it, and that was about when the call from DSK came in. If DSK had been running, he wouldn't have called, and the NYPD would have been too late.
Then it would have been up to the State Department to try to get him extradited. And, you may recall how long that took in the case of Ira Einhorn, an American client of Arlen Spector's who was wanted for murdering his girlfriend in Philly and who had been living in France with his French girlfriend for years. Think how much longer it would have taken to extradite a top Frog! Think eternity!