Yes, a CrossFit membership usually costs more than a big-box gym because it includes coaching, structured programming, and community, not just access to equipment. The fairer comparison is a big-box membership plus a personal trainer, and against that, coached CrossFit is often the better value.
This is a direct answer from the CrossFit BC coaching team. Short version first, then the detail and the local context for training in Vancouver. If you want the same answer applied to your own situation, a coach will walk through it with you in person.