No, the EDR forms part of the car's "black box" – just like the FDR forms part of an aeroplane's black box. Per the article, the erased* telemetry ("collision snapshot") contained quite a bit more data than just from the EDR.

*: I can't work out from the article whether this file was erased, or just unlinked from the filesystem: they quote someone as saying the latter, but it looks like it was actually the former.