Thinking about it from past experience , its rare bt update in the daytime
The fortnightly reboots are not update related. I have observed a Home Hub 4 on ADSL which has rebooted itself every two weeks without fail, due to OpenRG. The firmware is dated early May 2014.
I have exactly the same problem.
After a line fault I had an engineer disconect the line but he didn't reset the ip profile. Due to the OpenRG switchoffs every morning I cannot get my profile to reset higher. BT no help ggggrrrrrr.
Although credit where credit is due I had an engineer fix the line fault within 2 days! THANKYOU for that.
I hope it is not starting all over again.
Just now while I was using hte internet, my hub rebooted and I found the System event log showing
Time and date Message 18:30:52, 20 Nov. (1209938.710000) The system is going DOWN for reboot. 18:30:52, 20 Nov. (1209938.710000) OpenRG is going for reboot by IPC command 18:30:47, 20 Nov. (1209933.710000) OpenRG will go down for reboot in 5 seconds
I got the HH5 on 2 February and have had issue with losing wifi and ethernet, but this is the first time I have seen this message so I searched to see what on earth it might mean.
A week ago I had a struggle with BT about the dropped connections and they insisted I reset my HH5 to its original settings (which was one of the supposed solutions I read early in this thread). Maybe instead of solving it has started the problem.
If you think it is due to the equipment supplied by your ISP (wihich is dire in comparison) then do what I and others do. Buy your own equipment that suits your needs.
ISP supplied is a "One size fits all" except it doesn't.