This is not true. The Anglican priest is ordained in the Catholic Church as a Catholic priest. It doesn't matter what the lineage of the Anglican bishop who ordained him happens to be. I have this from one of the Anglican converts in our diocese of whom I've asked this question. He has no idea what his "ordination lineage" is.
The Anglican dispensation also has brought Lutheran and Methodist ministers into the priesthood, and they, obviously, have no lineage to pre-reformation bishops.