Dnilrot,
My setup does exactly the same thing. I have the latest FingerPrint software (2.1.0.484) running on W7 x64 sharing an HP printer. From my 4S, printing works perfectly. From my iPad 2, it works but be patient. i.e. You click PRINT and then wait 30 seconds for the printing window to appear. From my iPad 3, it never prints and sniffing the wire, nothing shows up fromthe iPad client. It's like it just doesn't phone home...
Are there any utilities to clear the AirPrint remembered information from an iPhone ? I'm wondering if the bug is because it is remembering some info from the older AirPrint printers ???