It turns out that Team GB are top of the Olympic medal table... for sitting-down sports in Rio 2016. This table shows that UK does pretty well for sitting-down sports over the entire history of the Olympics too. UK has the same number of sitting medals as Germany (but fewer gold) and is only a couple of medals behind the United States.
For the purpose of the visualization, sitting sports include canoeing, kayaking, cycling and dressage. You can easily change the disciplines you want to see in the visualization options.