Other SWR false destinations include, for different reasons, the Kingston loop services, which understandably aren’t advertised at London Waterloo as going to London Waterloo. From memory they are advertised as Strawberry Hill via Kingston or Teddington via Richmond.
Indeed - they change at, i think Wimbledon to say they are going to Richmond, and at Norbiton to say they are going to Waterloo. Similarly in the opposite direction, at Richmod they say Wimbledon, and at Strawberry Hill they say Waterloo. However, the talking ceilings give the entire route - which can confude people joining an outbound service at, say Vauxhall or Claopham Junction when it says the train is going to Waterloo.
One oddity is that Waterloo to Strawberry Hill is quicker via Richmond - and cheaper, because Strawberry Hill is in Zone 5 and Kingston in Zone 6 - and Waterloo to Teddington is quicker via Kingston, but the destination shown on the boards at Waterloo in big friendly letters lures people into going the wrong way round.
For a short while SWT showed peak hour Shepperton via Kingston services as only going to Teddington, because the peak-hour-only services via Richmond get to Fulwell 7 minutes earlier and Shepperton 12 minutes earlier, but people weren't using them because the Kingston line trains leave Waterloo one minute earlier. This led to overcrowding on the Kingston services. Unfortunately it didn't work, because regulars were used to trains with the ultimate destination as Teddington going via Richmond, so Kingston line passengers didn't notice them, and Richmond line apssengers were taking them by mistake.