evidence: Lawyers tell CNBC that it would make more sense for Covid vaccine injuries to instead be routed through another program under the HHS called the National Vaccine Injury Compensation Program, which handles claims for 16 routine vaccines. Known colloquially as "vaccine court," the program paid on about 70% of petitions adjudicated by the court from 2006 to 2018. [...] The Covid-19 vaccines, however, aren't on the list of eligible vaccines.