Being discovered as a jumper is a bad thing because he doesn't want the dryad to ask the world tree about him because the world tree will definitely tell the dryad that he doesn't want to see him or Ernesto. They need to fool the dryad into taking them to the world tree without the world tree telling her not to bring them to her first. World Tree definitely knows what Watson and Ernesto were doing, but she's a better watcher than a mover. She'll only watch her dryad be duped and see how much it costs.
an immovable tree. An overseer. The world tree stuck with that title for thousands of years, which is very out of character for her to intervene in Ernesto's affair. If she still maintains that immovable character, she must let the two see her using the gullible dryad.
Watson didn't think that his cover would be busted because he was craving pure mana, but he still didn't give up as he still had a way to get away.