Sorry to get all technical and boring here but please bear with me. And I've been away for the weekend in the VW, so I'll apologise for that as well!
The symptoms of your cranking time and white smoke while cranking before starting are consistent with the setup you have I think.
With the reservoir pot present the Thermostart would have fuel available BEFORE cranking, so while the button is pressed even without cranking, after 15s should ignite. Then while cranking, the flame would get drawn into the engine, then as soon as fuel pressure is up (1 or 2 seconds) fuel would be injected and the engine should fire. So that's the engine running within 2 secs of cranking.
Without the pot, and with the Thermostart fed from the fuel filter (Which is what you have) it would be more like..........Thermostart would have no fuel available without fuel pressure, so while the button is pressed, it would get hot, and it's little valve would open and air would be drawn in for a few seconds before cranking, as fuel runs back towards the tank (assuming no non-return valve), then while cranking it would take a couple of seconds to get fuel pressure, then a few seconds to drive the air out of the thermostart pipe. Thermostart would not have ignited yet, so fuel would be injected into the engine from this point, and would show cold white at the exhaust. About ten seconds after fuel pressure was up, the Thermostart would ignite using fuel pumped from the filter, and the engine should start. That's about an extra ten seconds of cranking.
This all assumes everything else is equal of course, and there are no air leaks into the fuel system. But air leaks usually show up as a few seconds running fine, then engine stops and won't restart easily, which doesn't seem to be what you have. In the winter both setups might take a bit longer to fire up.
The other benefit of the reservoir pot is that it is divided in two. Half supplies the Thermostart, and half keeps the fuel filter and injection pump under a very small positive pressure while standing, so any slight leaks are fuel outwards, not air inwards.
These Thermostart devices seem to have got a poor reputation, but in fact are very effective when working properly. Millions of Massey Ferguson tractors with Perkins engines (amongst others) have these, and start well in all weathers.
I've been reading a bit more on t'interweb (sad I know), and it would seem that the connection to the fuel filter (longer cranking) was common for heavy plant, or bio fuel, and that a fuel reservoir (preheat then short cranking) was almost universal for the smaller road engines, so I've learned a bit as well.