Of course, you see, you kill some guy, transform into him, and basically become him. And there would be an inconsistency if we assume that Shadia never existed.
What inconsistency? When Railag wants to hurt Bia for killing Shadia, she says that she *was* Shadia – i.e., she invented Shadia from scratch.
Added 1 minute later
Divine vengeance punishes for the sin of murder. The description of Frida, however, is similar to the description of a Miv specialist.
Well, you yourself said that you don't want to deviate too much from the original biographies of the heroes. I took the biographies of Godric and Frida from the fifth game as a basis and "mixed" them up ;)