Health Impact News has chimed in; didn't copy/paste well, see @ link. This was the only 'new' bit I hadn't seen b4:

In a statement to Reuters, the UK’s Medicines & Healthcare products Regulatory Agency (MHRA) also denied any such crisis talks with Britain’s flagship air carrier.
“We have not been made aware of deaths of BA pilots after receiving the Covid-19 vaccine and have not had discussions with BA or other airlines, about preventing pilots from flying after receiving the COVID-19 vaccine,” said Dr. Sarah Branch, the director of vigilance and risk management of medicines for the MHRA. “There are currently no restrictions on aviation or other industries and activities post vaccination.” (Source -Emphasis added.)