Hi there,
I've also had bad experiences with these Bocar carbs, my original solex was cracked so I bought a Bocar as a replacement, couldn't get it to run, same problems as you, cutting out when cold, engine rev delays when setting off etc...
I do however now have a good working carb, the solution in my case was to just swap over all the jets from the old solex into the bocar, this made an immediate difference and allowed me to tune the engine perfectly, I couldn't believe the power up the hills!!
My theory is that with emissions laws etc the jets are a lot smaller in the new carbs (They weren't stamped liked the solex jets, but looked holes looked visibly smaller) and cause the engine to run leaner, effectively causing fuel starvation problems.
If you have an old solex then I'd try the jets from that, or I think a company called eurocarb? may sell them, the specs for a 1600 TP are in the bentley manual IIRC,
Just my two peneth...