It's very common for the national builders to hire employees and make them division managers or higher when they hold the GC license that qualifies the company. Pulte, Lennar, all of them do it.
They open an office in a region and hire a guy (several guys) with a GC license and he qualifies the company. It's very legal and done all the time.
Sounds like OP has a slightly different situation, and OP, correct me if I'm wrong.
OP is with an industrial company who does not engage in construction contracting. They just want an in-house staff member to be the qualifier. That's still not uncommon. It keeps them from having to put jobs to bid which means they don't need to draw up as much for specs, saves time, saves money, gets the plant where it needs to be sooner and that too has a value.
OP am I right?
If so, I'll suggest you contact your state licensing board and ask them to walk you through the regulations which makes this possible.