Interesting chart, and I suspect that's representative in my case. I can tell that last two radiators on the one pipe loop (Hall & Dining Room) aren't quite as hot as the earlier ones, and they are also the biggest but they still heat up their respective areas well enough. It's a 1960's house with a ground and first floor, and the ceilings are quite low, so not a big head.
All in all, the system actually works fine. I had intended to replumb it as a two pipe when I moved in 25 years ago but after using it for the first winter I found it worked well, so apart from replacing the boiler ( Baxi Solo III, non condensing) and converting it to a fully pumped system with a motorised valve and adding TRV's it has stayed as it was.
With regard to balancing, all of the lockshields on the one pipe rads are actually fully open, which I did because the pumped flow through the one pipe loop is constant all of the way around the loop. The two pipe radiators were added with an extension in 2006 and their lockshields are just open slightly, not sure how much, as it's 16 years since it was set up and I've never had a reason to readjust them, but I seem to remember they are all about the same with the excpetion of the downstairs loo which is just cracked open as little as possible as it's just a small towel rail and only needs a tiny flow to heat it up.
Historically I ran the old pump on the slowest fixed speed and it's always been fine, but with the new pump there are the additional control settings, so I was wondering if they would offer me any advantages, and if so, what they would be. The new pump was originally set on constant speed I, but I've moved it now to constant pressure as suggested by
@Johntheo5.