I discovered that my twin has only been firing on one cylinder, so the vids really show a 250cc single... It's all good now though.
In the carby the round one is the butterfly, the flat one is a vacuum operated slide. AFAIK it's used instead of an accelerator pump, but instead of injecting more fuel, it stops the throttle being opened really quickly which would cause the engine to run lean.
From what i understand its just basically to make the throttle response very even and smooth, you will get better performance from a flatslide or even a roundslide, there just way to complicated IMO, why have a slide, butterfly, AND choke. Mikuni slide carbs just have a slide, they dont even have a choke.
You must have CV carbs if they have a butterfly and a slide. I'm talking about plain slide carbs, which used a cable operated slide and have no choke, just a fuel enrichment circuit (which is basically another jet like you said that is opened when you pull the choke lever/cable).