" " Although a Medicare Advantage plan can be cheaper, there are times when it pays to take a Medigap policy instead. Or they ditch all Medicare plans (Parts A, B and D) and purchase a Medicare Advantage plan. Medicare Advantage plans, also offered by private insurers, provide all of the same benefits as Medicare Part A and Medicare Part B. Now That's Interesting Medicare Advantage plans provide significantly lower-quality home health care to seniors than traditional Medicare, according to a 2019 study by Brown University. The study found seniors with traditional Medicare were 4.9 percent more likely to receive top care compared to those in a low-rated Medicare Advantage plan and 2.8 percent more likely to receive top care compared to those in a high-rated Medicare Advantage plan.