A throttle stop screw is another name for an idle screw, this wee device sets the speed at which your bike will idle at (should you ever get it going
)
Sorry if my diagnosis is a bit fuzzy, I have rebuilt two CB360's which is same motor and a CL175 so I know the very slight differences in the machines, am just coming back to bikes after quite some time not playing with them so I'm trying to unclog memory.
Not sure why our resident panel of experts hasn't jumped in here but maybe most work on 4's and not twins, but theory is pretty much the same.
If I interpret your last notes you said that when you open the throttle (not the choke lever which you only use when the bike is cold starting) both throttle butterflies open?
Your CL360 has vaccuum carbs as opposed to mechanical carbs.
Basically under those shiney silver domes on your carbs are rubber diaphrams (hopefully intact and not split) which lift the carb slides and long needle valves up for acceleration.
When the needle valves lift, petrol/gas is able to get to the head area and with luck be ignited by the spark plugs.
The butterflies at the back of the carbs are the "chokes" used only when cold starting your bike.
Both "chokes" should close (thereby cutting off the amount of air and making the mixture richer for starting) when choke lever is activated and should be "opened" (lay flat/ be horizontal) by you when the bike is actually running after the initial start.
Sorry if I sound a bit pandering here but I just need to know we are talking about the same parts of the carbs and what they do.
Different countries use different termanologies and I think maybe you and I are at cross purposes here.
So back to the bike, if one carb "choke" butterfly is staying closed shutting the end of the carb off (thereby making the mixture too rich) you have a problem which you need to solve first.
Is it staying closed because of some mechanical binding or detachment from it's mate which is opening as it should?
I seem to remember a silver metal bridge that connected these two in between the carbs!
This is something only you can diagnose with a bit of gentle poke and look.....happy fiddling.