The problem is that there is no definition of what "break of journey" means.But breaking your journey - as permitted by the terms of the ticket you hold - is a whole different kettle of fish than ignoring minimum connection times and claiming for a journey which - in the eyes of the railway - isn't possible, no?
Is stopping off for a coffee for 5 minutes a break of journey? In some cases it could mean you miss a train you would otherwise have caught. In other cases it could make no difference at all.
Coming back to @redreni 's example, you would exit the National Rail barriers at City Thameslink and enter the Underground barriers (e.g. at Blackfriars, Farringdon etc.) and vice versa at Euston. That happens regardless of how long you have in between. So what makes it a break of journey?
They have ultimately gone from A to C that day, but so has our hypothetical passenger in @redreni 's example. How do you draw a distinction between the two?In the OP's instance, they have travelled from A to C and arrived at C earlier than the railway said it would get them there.
That is rather different as you are staying on the same train throughout. Regardless of the definition you decide that "break of journey" has, I don't think anyone could reasonably say it was possible when you're staying on a train.There's no basis for a claim. If you board a train from X to Z - with a ticket from X to Z - and the train starts off late and is delayed up until Y, but then recovers time and arrives at Z on time, you can't claim that your journey was only X to Y in order to claim delay repay.X