I run EURomeGold_2.32_ddsetup.exe and end up with a RomeGame.exe from May 2010 and a Rome.exe & Readme.txt from July 2010.
If I run EURomeGold_2.2_ddsetup.exe, I get a RomeGame.exe with the same date, and a Rome.exe with a 2009 date.
If I first delete my RomeGame.exe before running either patch, I get a "romegame.exe" (lowercase) with the exact same size & date. So the issue is not that it doesn't properly overwrite the file, either.
And no, Armita didn't confirm that the *main menu* showed the right version or checksum.
P.S.: I now tried downloading EURomeGold_2.32_ddsetup.exe from two additional sources (=> fileplanet via direct2drive website, patches-scrolls, code5), they're all the same file. So my version is the (only) one available and I don't have the wrong file.