Realistically, LE in California wouldn't put anywhere near the effort to investigate the death a hooker that LE in England would apply to solve the killing of a pretty young architect in affluent Clifton.
While I'm sure A&S police put in lots of effort, they have hardly come out of this covered in glory. Quite apart from the fact that they arrested the wrong person (and are likely to have to pay in the courts for this mistake), the right person virtually gave himself away and then confessed to be the killer long before the trial started.