We are car renters now but our final non-renting trip a few years ago was to OKW. While we will always rent going forward, it wasn't an OKW-specific negative experience that made us say "never again" to going without a car.
We did not have a Near-HH room, but did request (and receive) a room in Building 27:
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This gave us quick access to the first bus stop, ensuring we'd have a spot on the way to the parks, and we were still close enough to the HH that we could also try to catch the bus there (the final stop) if we just missed it at the closest stop. Being the first stop also meant we had a shorter bus ride on the way back from the parks. We really liked this location and the flexibility of accessing the first or last bus stop.
However, room requests are not guaranteed and Near-HH is usually booked first, so if we had had a room further away (example, buildings 49-54) we probably would have thoroughly disliked the bus situation at OKW.
In short, even as now-devout car renters we had success at OKW without a car, but our location played a big role in that and we got lucky. I would feel a lot more comfortable booking a Near-HH room without a car.