The continued redoubling of the North Cotswold line isn't even in an investment programme yet so far as I am aware, let alone one that has been allocated any funding.

But agreed, the whole line needs to be redoubled. I think most members of this site were hopeful that the redoubling so far done is merely a good start.

Trains on the north Cotswold line seem pretty busy to me. The 1552 from Paddington to Worcester is always heaving well beyond Oxford, although if it reverted to an HST^▸ (High Speed Train) that might change.

I personally can't see passengers from anywhere west of Hanborough going to Kidlington for the Chiltern service as it'll take them hours in the car to get to the station. Maybe that's just me - I hate sitting in traffic jams

CLPGMS is quite correct. The problem is that too many trains are timed to pass at Charlbury and Evesham, i.e. at the end of the now long middle stretch of double track. The full benefits of the redoubling project are just not been obtained. If all trains passed somewhere around Moreton, i.e. somewhere over the middle of the double track, one late running train would be less likely to delay another as happens so frquently now at both Charlbury and Evesham.
The next critical point in the life of the Cotswold Line is likely to be in two years time when Chiltern Trains start running their half hourly service from Oxford Parkway (Watereaton) to Marylebone. With a doubled frequency, Chiltern will be high likely to poach many existing West Oxon rail travellers from FGW^▸ (First Great Western). Therefore the need to redouble Charlbury to Wolvercote will become ever more important. I am aware that there are aspirations to increase the frquency of FGW trains at the eastern end of the line (because that is where the most growth in traffic is coming from) by running more of the terminating trains from London to Charlbury instead of Oxford. There are, of course, already the signalling facities at Charlbury to do this.

I think this may happen when you don't explicitly log out. The state of login or logout is possibly held in cookies. Unfortunately some cookies expire after a preset time. So it is probably this timeout which will end your ability to view the 06 site. 

You are indeed most fortunate. I have not had such good luck.
This may be a quirk of your browser, as a few times when it was working I seemed to be able to view the cameras without having had to log on.