What makes the sick role desirable to certain patients.

We can avoid unpleasant situations.

If I'm reading this question right... I believe that some people are attention seekers or display attention seeking behaviors because they like and/or need the attention in any way possible. If they are 'sick' then people have to show them attention. This is a mental health issue and the patient should be under the care of a psychologist or psychiatrist.

Awoodchuck could chuck around 700 pounds worth of wood