There isn't really a huge difference in drive time. Maybe a few minutes, maybe not, depending on where you are going.
Instead, I think the most significant difference is the "vibe" at each place.
Staying at WH is like staying at your uncle's very nice condo while he is away---and it just happens to be a 12 minute drive or less to every theme park parking lot. There are some common resort amenities (the pool, a simple convenience store) but it's still more private and "residential". If you are in a pool home, rather than a condo, then it's even more private (though also more expensive).
Staying at Bonnet is more like staying at a "resort". There are several different counter service and sit-down restaurants. The pool complex is larger and more interesting. Several other shared resort amenities---mini golf, fitness center, etc. You give up some quiet and privacy, but you get a more "active" vibe. Bonnet has the additional plus that you never have to drive under the "See You Real Soon!" sign; you never leave "the bubble". For some people, that's a big deal. Others don't really care.