NoBlood

This may sound like a strange question but it has to do with a conversation I am having.
Medically and scientifically speaking, is plasma (with the cellular parts removed) still categorized as blood? Or in another way, when one simply receives a transfusion of something from blood that is less than whole blood, is it still categorized as a "blood" transfusion? The argument seems to be that once a major component is isolated for use in transfusion, that the component can no longer be categorized as "blood". Is a transfusion of nothing but packed red cells medically categorized as a "blood" transfusion?

Thankyou in advance,
Dellbert