I think the term Turbo Fan is not applicable to the RR Spey, it is a bypass engine. The front 4 or 5 compressor stages feed air into the core HP compressor or down a bypass duct.
A Turbo Fan engine has a single stage fan that feeds some air into the core compressors but most of the air goes down a fan air duct.
The RR Tay was a Fan development of the Spey.