I have converted my TC to (almost) UK specification for S4 Elans, so no crossover pipes, no vacuum retard, and a high-level balance pipe inlet manifold. The choke cable is connected to the front carburetter only; I tried connecting to the rear as well, but the pull was too heavy. I need choke to start from cold, even Texas summer cold, but it can be pushed in within half a minute or so.
I don't think pumping the throttle on Stromberg cars achieves anything useful other than ankle exercise. I am supported in this view by Lotus themselves, who say:
"Zenith-Stromberg carburetters are not fitted with accelerator pumps, hence pumping the accelerator pedal will not aid starting.
Pumping the pedal, particularly with the choke out, will in fact cancel the action of the choke."
YMMV