American tried this in the late 90s. The pilots found out that if the company requested a note and you haven't already seen a doctor that they would be required to pay for the exam. This got around and started costing the company a lot of money so they discontinued asking for notes for every most sick calls. Remember if the company asks for a doctors note and you tell them it was a cold or allergies or anything a doctor really can't do anything about and it would be a waste of time going to the doctor remind them you will happily go get the full body scan at the Mayo clinic to make sure you can give them a proper doctors note as long as they are willing to foot the bill.