Instead of rebooting, try turning off and on the Wifi with the icon in the top bar. Not a solution, but an easier work-around than a reboot...
I had a similar issue with OS1.07 with a Fritz.box router. It wasn't related to Flash video though. Switching from WPA2 (CCMP) to WPA (TKIP) on the router solved the issue, but is not really desirable of course. I have yet to test WPA2 with OS2.
As mentioned, changing some settings on the router might fix the problem. Some folks change the channel, others have disabled the N from the b/g/n settings. Dual band routers with the 2.x and 5.x standards have also been tweaked to use one or the other.