The BBC put it differently (note no quotes felt to be required about Rees-Mogg's slurs)
"Jacob Rees-Mogg: Dr Nicholl as irresponsible as Dr Wakefield [Headline]
Leader of the House of Commons Jacob Rees-Mogg tells MPs that "Dr David Nicholl is as irresponsible as Dr Wakefield".
Andrew Wakefield became became infamous for saying that the MMR vaccine gave children autism, a claim which was later found to be untrue. Dr David Nicholl has been giving evidence to the government in Operation Yellowhammer, warning of the dangers of a no-deal Brexit for medicine in the UK."
Well it is the BBC's claims about Wakefield's claims that are untrue.