Hi Geebs, thanks for listening.
The eWh, Mh, and Ml genes are not linked in any way. You can cull out the obvious eWh chicks based on their down. You can cull any that you suspect to be half wheaten based on the brown fluff, pale legs, etc. What are left over are ER/ER (birchen) that are not eWh but didn't get their full dose of Mh or Ml because their ancester was a Wheaten. The missing Mh and Ml genes are not just passed down to the offspring that are half wheaten. A half wheaten half BCM rooster mated with a pure BCM hen will produce 3/4 of his offspring as pure ER/ER birchen (maybe showing "wheaten influence", the other 1/4 will be like him, half wheaten. But potentially any of the offspring could be missing the Mh and Ml genes that result from the rooster being half wheaten, even the ER/ER birchens.
So even with the ER birchen part of the genetics correct, the wheaten past can pass on what it lacked to the non-wheaten offspring.
Any clearer?