Barcode Producer builds a list of installed fonts on launch so it can A) display a list of those fonts to the user, and B) reference those fonts should the user decide not to use one of the built-in OCR fonts. Among other things, Barcode Producer needs the PostScript name of the font for use B, so it looks at each font and figures those out on launch.
As a Mac application, Barcode Producer should be able to access any and all fonts at its discretion. The type of font "activation" that a program like Suitcase uses is a hack that tricks programs into thinking that fonts are installed that really aren't. For this reason, we'd suggest against using Suitcase (but you might not consider that to be an option).