First, you cannot just have your Form 8. You need to bring the FAA's 8710, your Aero Orders, flying time printout, medical cert, photo id, etc...
Second, while there may be some guidance provided to the inspectors, you should check CFR Part 61. https://ecfr.gpoaccess.gov/cgi/t/text/text-idx?c=ecfr&sid=40760189a03dfea0b501608f33820a45&rgn=div5&view=text&node=14:2.0.1.1.2&idno=14#14:2.0.1.1.2.1.1.3
If you are going to to to the FSDO and ask for something, make sure you know more about it than they do.
I've not gone for a type rating in a crew aircraft, but I know many that have, and none have received an SIC restriction.
OBTW,... you have to make an appointment. No walk in's.