Hi, i used to work for a printing company. One thing i was told is if you have a cursive (Serif) font the same as font you have where the PDF was created then you must have that same font installed on the machine where the workflow process is going on.
Another way, (my prefer way) is bring the orginal file into Adobe illustrator and convert that cursive/decorative font, or Serif font to OUTLINE. This will definitely will not get convert in the any process. Once the font line/word is converted to OUTLINES then it stay like that the whole process which means once you do the outline conversion you have to do a SAVE AS that way if you need to make any changes you can do the change from the origanal copy.
I hope this help in some way or another.