Yes, the generic OBDII module in a Snap-On scanner will do some good on the OBDII models. When the first C cars started coming in our Snap-on Scanner was the only one that would clear the diagnostic module.
The Snap-On scanner is a real pain though as you have to figure out which key to install in their connector. The MasterTech inquires on all data lines and talks to whichever one responds.
Live data is very limited with the generic scanners even though they do offer some features under OBDII that factory clones don't offer.
Bosch Master, ASE Master, L1
33 years MB technician