I've run into an issue with my printer denying printing, one of my designs is a parody of Hotline Bling and contains the familiar text in Helvetica Neue in the background.
The reasoning is because of copyright issues but from my research about copyright rules, you cannot copyright the use of a typeface.
You can trademark a logo. And a logo can be made from a typeface. It's less protectable than something custom, but protectable none-the-less.
But parody is a perfectly acceptable.
I'd find a new printer.