Student or Learner
Maybe if we are quite strict in logic, in "He wouldn't act a falsehood any more than he would speak one.", "he would speak one" should be amended to "he wouldn't speak one" as I think it means "He wouldn't act a falsehood as much as he wouldn't speak one". What do you think?
ex).."Then Your Grace will allow me to attend you as usual, which will show the public that you haven't withdrawn your confidence from me?" "No," replied the Duke, kindly but firmly, "I can't do that, for that would be a lie." He wouldn't act a falsehood any more than he would speak one.
'Act a falsehood' does not make much sense to me , but the structure is fine:
He wouldn't steal any more than he would lie.
He would no more steal than (he would) lie.
He is as unlikely to steal as he is to lie.
He wouldn't cheat, just as he wouldn't lie,