I've read threads where they say that leaving the B2 powered is less stressful on parts. Although it seems to make sense, I don't know how much is scientifically factual and how much is opinion. Apparently there has been evidence that the display panels can wear out faster than other parts. So cutting the brightness while in standby or turning off power will both reduce wear on that.
Since there seems to be a difference of opinion on whether the B2 will enter standby when the WebUI is open in a browser window, I guess I'll have to test for myself. I turned on the B2, waited for it to finish booting up, turned on the WebUI in a browser on my computer, navigated around for awhile. Then, I minimized the browser, leaving the WebUI open. I left the B2 alone, doing nothing but scrolling information. After 15 minutes, the B2's display was still scrolling information. I believe that if it goes into standby, the scrolling info should stop and the screen should dim to the standby setting.
After 20 minutes I closed the browser that had the WebUI open. Five minutes later, I just happened to look up and see the B2 go into standby. The display blanked for a split second and dimmed to the standby setting, the information stopped scrolling, and just the clock and date stayed on the screen.
When I opened up the browser window, with the WebUI open, the B2 immediately woke up.