Fog Light Installation - S Model (with Pics)
OPsDad tried the same thing on a 2013 SE with a fuse at F75 and it DID NOT WORK, so I would be REALLY surprised if it works on a 2013 S.
Everything installs, but the fogs don't come on and the dealer doesn't have the option to enable the fogs. (I think it would work if you found a dealer willing to re-flash the BCM with the VIN from a different model that did have fogs (I Limited or SE Appearance Package), but most dealers will not be willing to do that.
Chaddz3's solution with the relays and aftermarket switch should work fine, though.