In addition to the labels, 5.6 (vs. 5.0) affords the ability to turn off the power saving mode, and the brightness transition from daytime to nighttime mode and vice-versa is gradual instead of instant (to reduce distraction). While it continues 5.0's ability to connect via any Wi-Fi network (including a cellphone "tethering" capability), it does NOT provide tethering (Wi-Fi access) to the car's 3G connection.
Tesla never promised that the Model S could turn itself into a hot-spot to share its 3G connection. That is an absolutely silly feature that would cost Tesla a lot of money due to increased 3G bandwidth and which would offer users no useful benefit, but lots of frustration. 3G connections are also not fast enough to support tethering of multiple devices. This is also not a feature that anyone is expecting. If anyone is expecting this feature, it's best to let it go because it's not going to happen.
Tesla is not in the business of offering free internet access to owners of its vehicles to be shared among the owners' other connected devices.