Harry,
First, everything that you just posted is incorrect. Automotive A/C shops commonly inject dye into a system to locate a leak. The dye does not harm their equipment, in fact every charging station that I have ever seen had some dye in it. The refrigerants that contain a stop leak may be a different issue, but I do not think that it will be. Regardless, there is no way for a commercial to know about the stop leak unless you tell them. If it goes through your expansion valve, it will go through an A/C charging station.
Second, there is no reason to use a refrigerant that contains dye unless you are going to try to locate a leak with a black light. The straight R134A refrigerant is all that you need to top off the system charge level. Using a refrigerant that contains extra oil or dye is just a waste of money.
Gerald