What it says is:
You can ^break your transfer journey' and leave the Underground at any intermediate station, e.g. if you are travelling between Victoria and Euston you can exit at Oxford Circus. However, if you subsequently wish to continue your journey by Underground you will have to purchase another ticket.
I suspect you are more accurate than the "
real thing", chrisr_75, which appears to stipulate that you must purchase another ticket and thus excludes a continued journey on a payment card!!

Probably a question of the 'law' not keeping up with the technology.