The senior foreign minister Baroness Warsi has said she is concerned that political correctness could lead to statistics on the sexual abuse of children being distorted.
She said: "If the victim takes us to a perpetrator who is white, black, brown, of whatever religion background, then we must investigate that fully".
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Arthur Simpson-Kent, 48, admitted killing Ms Blake and their sons according to his lawyer.
Two brothers have been arrested on suspicion of murder after their parents were found dead in their own home over the weekend.
The first man to be convicted of murder on the basis of DNA evidence should be moved to an open prison, according to the Parole Board.