Not just 'eyeing up'. GWR acquired a considerable quantity of the as-yet unrebuilt D78 rolling stock from the disposed assets of former Vivarail as well as the battery prototype, the ex Bedford-Bletchley cl.230 units, and the IP for the fast charging tech, so the Greenford trial could be considered a full operational prototype for the other Thames Valley branches, which could plausibly be branded and shown on the tube map as Elizabeth Line branch shuttles if desired, even if still being operated under contract by GWR, in the same way as Heathrow Express.Given the fact that GWR are eyeing the battery D78s for (some of?) the other branches, not really.
== Doublepost prevention - post automatically merged: ==
You'd need specific route clearance for the particular line and stock, and if any shared running was involved, the appropriate signalling and train protection systems would need to be fitted.Chiltern run diesel trains over fourth rail track so yes freight other passenger trains can be ran over fourth rail.