Ok, so I've just played with some date from recenttraintimes.co.uk, and analysed the route from Durham to London, for every train between the 2nd December and yesterday, and used it to calculate the percentage of arrivals which arrived between RT and 5 minutes late, by day, and plotted them as a graph.
It appears from this analysis that the worst days are Thursday and Friday by a considerable amount. Obviously, this is just one route, and you'd need to look at all of them to make a more comprehensive opinion, but this does give somewhat of an indication.