I'm a contractor working through an external agency. Aside from the occasional reminder to submit my time sheet when I forget, I have almost no contact with the agency. My supervisor continually reminds me and the other contractors that she considers us to be like any other team members. The only perceivable difference between my status and that of my teammates is that my paycheck comes from a different source. The company where I work is a well-known international brand whereas the temp agency is, well, a temp agency. For obvious reasons, I would prefer my name be associated with the company people are more likely to be familiar with.
Is it necessary for me to list the name of the agency as my employer on LinkedIn rather than the company where I work? Would it be seen as dishonest if I don't?