Fuel pump line into injector perished - am I right / any recommendations?

Hi all,

Another fun one. The old girl choked and started misfiring on a pootle to the shop this AM. Engine block was wet and first thought was head gasket / cracked head. Realised no water oil mix on removing the filler cap and realised wetness was actually diesel combined with filth from the side of the block so it looked like oil leak.

Turns out the hose that I've highlighted in the pic had perished and was sitting on but not tight onto the injector head. Removed old cable tie clamping it on (red flag, obvs an old issue). Trimmed it down, was split quite far up. Have reseated and another cable tie to keep in place but obviously now wanting to replace.

So, am I right in thinking what I've highlighted is the hose from the pump to the injector? I could be totally wrong, so any help greatly appreciated. If so, can anyone recommend a replacement? Searches for what I think it is have come up with far wider dia hoses.

Ebay 3.2 mm injector leak off pipe.
The three short bits between the injectors feed back into the longer bit and that in turn goes back to the inj pump return pipe

Like this, https://www.ebay.co.uk/itm/255027051756?var=555157169130&hash=item3b60cbfcec:g:7x0AAOSwilxiIOdo

You dont need the clips it is just a tight push fit.
Your local motor factors may have it on the shelf, always worth having spare as it dont last forever

Legend, cheers mate! Knew I wasn't quite right in the terminology / my understand of what's what!