Is this a serious question?
It would do very little damage to the police force, since these murders are clearly the actions of a lunatic and not, I suspect a policy of the Suffolk Police force.
In anycase, anyone with access to the thriller section at the local library could easily develop a reasonable understanding of the DNA tricks. Christ, there's some dreadful film with Sandra Bullock in it which is a virtual instruction manual for avoiding getting caught through DNA.
Rather strangely, I suspect the police would rather aprehend the real killer than look for a scapegoat, so if it were this chap, I think you'd find they'd arrest him pretty smartish.
However, using prostitues does not a murderer denote.