Difficult cold start

I would NOT disable the choke. Even on warm days the choke is helpful in starting a cold (un-started for a few hours) engine. Like I mentioned in my last post, sometimes it just needs enough pedal pressure to set the choke, at least mine did. Try just pressing the gas pedal, maybe an 1/8th to 1/4 of the way down, let off, remove the air cleaner lid & check to make sure choke closed all the way, then try to start it without touching the gas. It may be like my Duster was, too much fuel & it was hard to start. If I just hit the gas pedal enough to set the choke, it would start right up, even after sitting for a few weeks! Hot out (summer) cold out (mid-winter) it didn't matter, it always fired right up. Maybe I just had a freaky engine, I don't know, but I would try that first, it may be all it is, too much fuel.
I have tried this method you suggested. It didnot help, so I disabled choke temporarily to eliminate too rich fuel issue.
Letting car sit for several days, fuel evaporates and now no fuel in the carb bowl. Best way to solve the problem is to an electric fuel pump, if the problem is no fuel after the shut down for any length of time. As was mentioned above check for a good squirt of gas down carb throat after the lay off. That'll tell if it's a fuel problem. Could also be a weak fuel pump. We can only suggest things, but you have to do the work to find the answer.
Yes, I will test this next time. It is hard to solve issues cause I had to wait several days without driving the car until I can do next test. And in summer I like to drive :)