It ought to be more than 'just a RHS checkout'. There's no point in starting an FI course unless you can fly the aircraft to a good standard already. When you demo a PFL it's got to go in every time; when you do a steep turn it should be almost on rails; if you say you're going to touchdown abeam the PAPIs then thats pretty much where you should touch down etc.
The check is normally done by the FIC instructor who is going to run the course - I'd be anxious about having someone pitch up for a course with a chit signed by someone else.