Jason, i.m.o. not true.
It has been mentionned before that the same applied for the FJ's in Holland, which turned out to be incorrect. It is however mentionned too that jumping while under enemy-fire ("hot LZ") was worth an EKII, but I heaven't seen any prove of that untill now. As for f.e. Korinth there is a small paper you should have on which is written who should be awarded with an EK II or EK I and most FJ there also jumped "under fire". The list only mentions about 15 names if I remember correctly.
I do have copies of papers from the FJ-Sanitätsabteilung in which an officer mentionned people who should be rewarded an EK and why. So every man an EK II ?? I think not.