Thank you Samav,
Well, to be honest, I really wasn't all that hopeful for this being an intake leak but it never hurts to check and rule it out instead of wondering.
Yes, yours doesn't have the dashpot but I will post the link to the older model that has a depiction of one so you know what I was referencing. Item 13 in the link for a 2001 model below:
I completely agree with checking compression and valve clearance. Are you working with a shop manual? I don't have one so I can't provide you with any specifications..
I also want to point out that you might need to look at the crankcase venting system as it is listed in the troubleshooting section of the carburetor manual for this type of symptom. Although, it doesn't look as if it is very easy to access.
See items 3, 4, 5, 8, 15 and 16 in the link below. You can ignore item 2 as it is for a D model.
In the event that you do find yourself revisiting the carburetor, a couple of questions:
Did you remove the idle mixture screw and spray into the passage while observing that the idle delivery orifice in the top of the carb throat delivers fluid?
Your description of the idle mixture screw making little difference has me wondering why not.
I always like to "backflush" all the delivery orifices when cleaning to ensure that they will pass fluid backwards through the passages that feed them. Flushing them all forwards and backwards, usually more than once, is the only way to get them truly clear.
Another area often overlooked are the high speed and low speed AIR JET tunnels. Those are accessed at the carb inlet mount flange. The low speed is the one recessed further into the carb throat while the high speed entrance is flush with the mount flange on this BC model carb.
Just pointing out some things I know I have missed before.
Good luck figuring this out. I know it's not easy sometimes.
As always, I will be following and cheering for you.