I have never came across anyone claiming that E comes from Europe, and probably none of the all the other haplogroups. The original E is split into some 40 branches with different timelines and time spans and events. It is probable that all haplogroups made an entrance into Europe from the East. Maybe some subclades made an entrance from North Africa.
It has to be the only type as E1b1b covers ALL the E types found around the world probably mutated in Paleolithic times. I think what you mean is M78 to Z919 to L618 to V13 all the rest are hardly found in Europe.
I presume you mean E-M81 (found amoungst North African Berbers) who have a different time frame and migration routes to other E subclades.
Sub clades such as E-V13 were found in Europe way before the classical Egyptian era or any slave trade we know of. Besides some of the earliest Pharoes are known to be from the E haplogroup. I dont think they were slaves :grin:... so who were these Notorious Egyptians? E-M78 (which is thought to have been mutated in the area) has been present in Egypt thousands of years before the first pyramids were built and its much more probable that these people were E-folks themselves. You need to know history and get familiar with time frames and possible mutations to be able to compare