In this industry those companies are known as “ambulance chasers” and usually they don’t have your best interest in mind. Not sure on what the lawyers and doctors try to get you to do, but I have personally talked to customers who received the same calls about taking their vehicle to a body shop who promises to save a deductible or cut you a check back when the car is done.
About nine out of ten people told me that once their car was finished they did not get what they were promised or the repairs looked like a twelve-year-old was working on their car. Beware of the old saying “If it seems too good to be true, it probably is!”