He's not going to lie to them! Not for a job that's - it's hard to articulate what exactly makes a job where he wouldn't be willing to lie. This one's a job where people would be placing their lives in his hands, so many people, over and over again, because they trust - not him personally but the people and the systems that decide whom to hire, and him a little bit by extension. Police work is less like that - a lot of the time police are instead interacting with people who were trying very hard not to interact with them - but the Danshoe Police Department's policies are the closest he's going to get to an extended hand. He can imagine lying to get a job washing windows, but he's not aiming for that.
But is there at least some kind of consensus on whether it's worse to go into detail about how driving a garbage truck has given him the opportunity to practice things relevant to the jobs he's applying for, or to be brief, or to just say he's driven a truck and that's all, or just say he hasn't actually done grey work before? Surely every day someone somewhere is getting their first grey job and for most of them it's their first job, period.
If there isn't a clear consensus about it on the internet he's inclined to go with the last thing for dispatch but go into more detail for the police department, which is openly interested in considering ex-red applicants and probably wants to know that he can drive.