I have the profile installed and have done many restarts on my iPhone and my Watch.
Both devices have the public beta profile
iPhone running iOS 9 beta 4 (after upgrading from public beta 1)
Watch running 1.0.1 atm
apple-watchbeta-seed-programiosiphone
Best Answer
There is no public beta for WatchOS 2.0. Developers can get WatchOS 2.0 by downloading an additional provisioning profile for the watch.