While I could be mistaken, it's my belief that the bottle was not added until the 'neckless' radiator with the short-reach cap came in.
Installing a bottle would be optional, IMO, but only if you can find a cap that properly seals so the radiator can suck water back out of the bottle as it cools. The original cap was not sealed for a recovery bottle, so it just lets air into the radiator and negates any benefit of the bottle.
IMO, the advantage of the bottle on a long-neck radiator is slight, since the early radiator has a large upper tank (and of course that extended neck) that serve to allow expansion/contraction of the water. But the bottle does provide some small theoretical advantage, by reducing air bubbles in the coolant. I could never get a cap (and water pump) to stay sealed well enough to pull water back up from the bottle, so my TR3A doesn't have one and I'll likely remove the one my TR3 DPO added.
ISTR the original routing of the overflow hose on a TR4 had a clip to the radiator frame or brace. TR3 clipped to the inner fender I think. After that, it just hangs down loosely.