Yeah, well...sort of...
Sikorsky don't have an ARH equivalent, but I guess the same claim can be made of the Boeing/US Army team pitching the Apache (plus the Longbow radar was going to be extra!)
The other problem with the UH-60M program at the time of the MRH decision was that it was substantially a remanufacturing program with (I think) less than a quarter of the total planned buy scheduled to be new builds.
My understanding is that not a lot of effort was put into marketing the new-build program to the ADF by the US Army and Sikorsky at the time and there wasn't a lot of certainty about whether Australia's S-70s could be 'remanned' to UH-60M standard because of their differences to the US UH-60A/Ls.
Anyway, right or not, Army wanted something A) bigger and longer ranging (read: flexibility) than the Black Hawk, and B) with some commonality to the ARH, hence the choice of MRH.