Xine, it's not getting TO Mudchute that's the issue, it's getting away later on when I want to leave.
I was at Mudchute a couple of years ago, and getting to the finish (from there or any other place I've ever watched from) is hideous. You can get the DLR into Tower Gateway easily enough, but after that.... 
In fact, my Squeeze, who was running that year, beat me to Trafalgar Square, even though I left Mudchute as soon as he'd gone by.
Oh, and TfL always diddle me, because I have a PAYG Oyster, and although I shouldn't pay any more than the cost of a Travelcard for my various DLR and tube travel, I end up with a penalty because they directly people out through a side exit at Embankment so that I can't 'touch out'.
The more I think about this, the more I remember why I don't like going!
Edited: 25/01/2013 at 12:31