If carb 1 is set for a 1000 RPM idle, carb two is set for 1500 RPM, ,Carb 3 set for 1250, and carb 4 set for 1300, what rpm will it idle at?
Answer: they fight for dominance. When they get what they want, others try harder till they get what they want. They trade off for who is dominating and when.
There is only one crankshaft. So it hunts, or is at least, erratic.
Want more technicality?
The carbs draw fuel from the jets based on throat vacuum. If one slide is open more than the other, it has less vacuum, more air and less fuel. Lean tends to create more heat and a bit more power, raising the RPM. More RPM increases the carb throat vacuum, drawing more fuel and only a little more air, as the carb slide hasn't moved. Therefore, the mixture gets richer, the cylinder runs a little cooler and less power is created, slowing the crankshaft. The cycle repeats. When other carbs are added and involved, the imbalance is magnified. Slides that are open more than others, run leaner (wanting the crank to go faster), whereas the carbs with lower slides run richer (wanting to go slower). The battle for dominance goes on, unless they work together as a team, and that is what synchronizing accomplishes.
But, I could be wrong...