not quite that simple
stillcallozhome
You are legally correct with your comment about a check ride, however in practice it is not quite that simple. Generally people will need to do some flying here in order to be fully conversant with all the procedures, navigation techniques (for VFR CPL) etc before they can successfully pass the check ride.
The amount of flying required clearly depends on your experience, currency and background. It would be best to budget on some expenditure as part of the conversion.
Oz