Just to let you know this is the wrong forum. EBJDs are basically fancy JDs, there is no difference in what it is. It's still the same species. Should have posted in the CA/SA Cichlid subforum. Ask a mod to move this for you.
Anyway moving on.
Basically from what I can gather most of the guppies are bigger than the ebjds. That doesn't mean that there are no smaller guppies than the jds. The thing is:
Would you be willing to face the risk of some of your guppies. Are your guppies some expensive thousand dollar show fish or just the run of the mill fancy tailed guppies?
Personally I would try it. But, I'd be willing to risk it.
I wouldn't worry about the guppies that are bigger than the jds. Those won't get eaten but there is a risk for the smaller guppies.
Basically its like asking will a great white shark eat a sperm whale? No, because it can't stomach it (same as in your situation) but it can still kill it.
It's up to you, but I say go for it.