I thought Blinkfeed would update occasionally on it's own without having to pull it down. Settings say, "Auto refresh: Using Wi-Fi." I'm connected to Wi-Fi most of the day, and it rarely auto refreshes.
The Weather displayed next to time also never updates automatically. It always says "No Weather Data Available." I have to manually update that as well. Meanwhile, there are weather widgets that stay updated.
What notifications actually show in the "Productivity" lock screen. So, far it's been missed calls and messages, and the occasional meeting alert, that's it. None of my mail appears there, though it says it should. I have mail configured through "Exchange" and the default "Mail" and only a couple of times has it ever displayed an incoming mail and it was from the "Exchange" side.