50 miles from Downtown London places one in Brighton or 5 miles away from Oxford. The diameter of London is about 50 miles, hard to believe that the average commuter moves from one end to the other on a daily basis.
It's certainly not the average commute but there's a fair amount of people who do it. Don't have any statistics by there are several people in my office who do it. If you live close to a train station it's not much of an issue (as long as the trains not on strike). You can easily make it to the office in ~1 hour as most offices in the city are close to one of the train stations. Annual tickets are very expensive but so is living in the city.
The major difference to the US is that here in London basically no one commutes by car. Train services are nearly always faster. And it has the advantage that you can use your time more productively.
I think it's better to look at the time of commute, as that's what usually determines how one feels about a commute. In any case, Brighton is just under 50 miles straight line from London, and that's on the edge of what most people consider acceptable. Going North, it's about 50 miles and 45 minutes to Milton Keynes. Not many people commute from farther than that.
They apparently define mega-commute as a combination of distance (>50 miles) and time (>90 minutes). I agree that time is probably the more relevant number for most. As is the degree to which you're driving in stop-and-go traffic vs. riding a train.
Assuming I'm reading the study properly, solo driving does account for a significant portion of these commutes.
Anecdotally, I had a commute that was at least on the cusp of this definition for a time. Driving it was pretty awful. Taking the commuter rail, as I typically did, was still something of a pain--it's just a big chunk out of the day--but was at least somewhat tolerable. (Fortunately, I also traveled and/or worked from home a significant portion of the time.) I wouldn't have wanted to do this long-term.
I would also guess that the majority of those commuters are not driving solo. Longer train commutes are less mentally exhausting and also don't cause congestion.