The most spectacular run I had on the Southern Electric was back in the 1980s from Southampton Parkway nonstop to Waterloo, Expecting the normal 12-car REP/TC to arrive, what turned up, several minutes late, was a single 4-VEP. Just about enough seats. This proceeded to run to Waterloo absolutely flat out, at what felt like a bit exceeding the speed limit for much of the journey, and actually regained time.
The higher voltage helped, back in 1980s there were parts of this Suburban network still fed with nominally 660v sections, 750v was common on the mainlines, but a lot of Bournemouth line electrification has been done at 850v.
Top end acceleration above about 75mph was poor, but given a long enough run would gradually creep up to about 95mph (nearer 100 on downhill). VEPs didn’t really have gearing to accelerate to 90mph climbing a hill. I’m sure a driver once told me it took about 6 miles from stop to hit 90mph
I say that because suburban services from Victoria often seem the quietest out of the three SR divisions, even nowadays in the morning peaks there are seats avaliable on stopping trains on the approach into Victoria. The Central, historically, was the only place in London apart from the Thames/Chiltern routes where you can find two car services-the class 456. Plus, most post-war infrastructure plans seem to involve easing congestion into London Bridge or Waterloo. Were the Brighton slows considered the least important of the SR's suburban traffic? If so, why?
Demographics play a big part, electrification and commuting in these areas boomed at end of 1920s and early 1930s. But by the 1950s same people were living in these homes but had retired.
Eventually people moved to coastal towns, or die, and a new generation take up the family homes and commute. However by this time London had split, financial services were in offices in City, and other businesses in West End, the West End businesses tended to start day later 9-10am rather than 8-9am in City. So services to Victoria were serving different commuting and shopping market (where rush hour was more spread out)
The opening of Victoria line also made a hole in the central commuting market, especially as some bus routes were almost aimed at feeding the tube. So Central division suburban commuting was weaker. In more recent years demographics have again changed as younger families move into previously unfashionable areas.
But now Thameslink services exist and the extended Overground can get people to Canada Water (for Canary Wharf). So have a split market as London offices now in 3 distinct areas. It remains to be seen what post Covid era does (but that discussion has its own thread)
In the past there have been some publications where the demographics yo-yo commuting levels have been shown by listing quantities of season tickets each year, or every few years for selected stations