Jack decks do very well against greening, but maybe not quite as well as a dedicated venture deck. That said, your opponent did not build a dedicated venture deck. And as WanderingWinder pointed out, DoubleJack should beat Jack/Chapel pretty handily, and you should be able to simulate that to check.
I think this illustrates a larger point. Most people who read this forum know that chapel is one of the strongest cards in the game. But they tend to forget it's only because of how good it is for engine games. It's mediocre in big money games, losing to quite a few cards head to head. The reasoning is simple: spending turns doing nothing but trashing slows you down and you need some way to catch up. Usually this is with a big engine with multiple buys. A dedicated big money deck doesn't waste those first few precious turns trashing.