The religions of today, as understood by their adherents, fall into the first category - no intuition. Such shallow doctrines may convert you in a moment. The mystical and meditation schools fall into the intuitive class, and can give you a few ecstatic hours after a few years. But all-knowledge involves a love of Truth, and is the labour of a lifetime.
It is relatively easy to attain intuitive skills if one becomes child-like, abandoning the sharp categories of adult rationality. But this is a case of going backwards to childhood rather than forwards to a new birth and holy innocence. Those with total knowledge require all to be reason. They need to know everything, including where their intuitions or mental associations come from, and what they mean. They take nothing on faith unnecessarily.