""However there are some Hereditary Peers who also hold Life Peerages and sit as Life Peers in the House of Lords.""

Providing their presence in the house came about in the way I described and not because of their heritage, what difference.

Are you suggesting that an hereditary peer who performs some signal service to the nation should be debarred, because of an accident of birth, from receiving the same recognition as anyone else?

That sounds very much like discrimination by inverse snobbery.

Don T.