I'm curious if there are any copyright(license) issues involved with this

Is it permissible to exhibit a model downloaded from the warehouse, printed with a 3D printer, for the purpose of conveying information at a permanent exhibition?

The exhibition is organized by a corporation, and we do not sell printed products.

Nobody here can answer that question, your corporations lawyers need to read and interpret the 3d warehouse Terms of Use and advise you. They are the ones that need to know they can argue the case.