Unfortunately you are making up your own version of what "average" means or you got it off some cut and paste website like ehow.
Apparently the only research you've done is looking up your "doctors" phone number so he can explain everything to you. As I have done over a thousand hours of reading and am writing a book on these subjects your assumptions of what is "logical" are at best simplistic, baseless and naive. Your assumptions are logical to you because you're working with an extremely limited knowledge base.
You are not looking for information that people post about symptoms they have that are related to another type of infection because you are completely unaware of any of the complex issues going on in this forum, instead you are just proud of your own mindless gibberish.
"Topical permethrin appears to be the most effective treatment for scabies."
"Usha and Gopalakrishnan Nair performed a study that addressed the relative efficacy of topical permethrin and oral ivermectin. They found that a single topical dose of permethrin produced a clinical cure rate (97.8%)"
Do I need to provide more? I could. Numerous studies show that permethrin (and to a slightly lesser extent, invectermin), are sufficient and preferable to cure the vast majority of cases of scabies.
I backed my statement up. Now, it's your turn: provide specific extracts from studies that conclude that most people who have scabies also have lyme disease.