In InDesign when I open IDML files everything looks and prints fine. Once I save it, name it and close it and go to reopen it the fonts of one family change and the fonts of another family don’t print correctly. The fonts are installed and print fine when first opened it's only once saved that fonts have an issue. Is this a glitch or some sort of postscript issue?
Are the fonts really installed, not just in a Document fonts folder included with the IDML?
And have you looked at Type > Find Font.... to see if ID thinks the fonts are missing?