We were there in January, in the mornings they ran separate busses to each house when we went to MK and Epcot, we didnt stop at Jambo at all in the mornings for those two parks at that time of day. As for Animal Kingdom they picked up at Kidani First then went to Jambo. We had no time set aside for HS so I can't answer how that route is handled.
For all afternoon travel they stopped at Kidani first then Jambo except when going to Disney Springs.
I've always wanted to stay at Jambo but the more time I get sequestered to Kidani due to lack of availability the more I realize that's where I prefer staying even after visiting Jambo house for Jiko, Mara, Victoria Falls lounge, etc. I just find it so quiet and relaxing, the times when I've visited Jambo house it's always seemed to be higher energy, but not as high energy as something like a monorail resort.