The big news for employers recently was the highly anticipated release of the Emergency Temporary Standard from the Occupational Safety and Health Administration (OSHA) on vaccine mandates for businesses with more than 100 employees. This news was followed swiftly by litigation and an injunction, which now puts the deadlines in the OSHA rule up in the air.But no matter what happens with the new OSHA rule, vaccine mandates are not going anywhere. Even before the Biden administration announced that it would encourage OSHA to …