Thread re-awakening
I did a bit more research into ETA & Lexham.
With Lexham, basically a taxi picks you up if you need rescuing, and it seems that, say, if you e.g. take the car and ride from somewhere remote (some large distance from home), they will take you back to the car, IF there are no nearer bike shops open, suitable trains etc. No max distances for this are stated in T&Cs - so technically this comes under 'discretional' I guess. I got the impression that if there was e.g. a bike shop closer than other options, it would have to be this.
Lexham define Pedal cycles... Means any bicycle, adult tricycle or tandem, including any mechanically or electronically assisted cycle weighing less than 40kg and with an output not exceeding 250w/15.5mph.
ETA, said to me that 25 miles is the max they will take you, but within 25 miles one could choose options, so e.g. back to car, even if nearer bike shop was open. However the 25 mile 'condition' is not in the stated/available T&Cs - so again 'discretional'?
So it's not entirely clear.