You're probably right. On your application you have to say if you have felonies or not, and it's not an automatic refusal. He wouldn't have enough room to list his though, so might be a red flag to the manager.
Another article said that the McD headquarters doesn't hire felons, but the franchises can do whatever they want and some don't do background checks.
I was stuck at imagining Trump going through an interview as a manager. Imagine when they ask him what he would do in situations with diverse hires, or how to make schedules without favoritism, his views on maintaining food safety and standards, how he plans to handle difficult customers. The rants would be epic. If you let him speak he'll talk himself out of a job in the first 3 minutes.
Trump is not qualified to hold any job whatsoever in the American business landscape. He has no skills for any technical work, he would be terrible working a service job, and he is absolutely horrendous at business with his reliable track record of failures, bankruptcies and grifts.
The only job he is qualified for appears to be conman politician for the GOP, where the standards are so low that nobody can find the floor.