The bath house scene location

I've tried Googleing this, but to no avail.

I watched The Mechanic (2011) featuring Jason Statham and at the start of that film, he kills a guy by drowning him in the pool. My immediate reaction when I saw the pool-scene in Bullet to the Head, was that this has to be the same filming location. Looks exactly the same, with the pillars and some other recognisable stuff.

Is this location the New Orleans Athletic Club? I know BttH was filmed in Norleans, as was some of The Mechanic.

Here's a photo of Athletic Club's the pool: http://www.neworleansonline.com/images/slideshows/listings/2939/01.jpg
Opening scene to The Mechanic:
https://www.youtube.com/watch?v=bHDXZRviRaI
Scene in BttH:
https://www.youtube.com/watch?v=yNQEcjCq8VE

So am I right or am I wrong? :p

Thanks in advance!

This is just my signature and is not part of the post lol...
- Signature, Mr