Now that you have a stens account you can try
Stens Ultrasonic cleaning solution
The price on their
ultrasonic cleaner is pretty good too for a big unit .
I use a similar solution from another supplier at 1/2 strength.
If you are getting a grey deposit on your carbs that is because you are not pulling them out while the cleaner is still running.
Some where on the bottle there should be a warning not to soak in the solution .
This is because the solution is very caustic with a pH usually above 12.
Base metals , Zinc , Aluminium, Magnesium , Bismuth , Antimony etc will all dissolve in a caustic solution and the dissolution product is what is getting stuck on the outside.
I set the cleaner for 30 minutes then my phone timer for 25 so I can pull them out while it machine is running then dunk them direct into the vinegar to neutralize the caustic solution.
Lots of vary handy tools in the catalogue but forget the cube carb ones as EPA regulations prevent them selling the ones you need to you.
But you can buy them all of ebay or amazon
The dishwashing tablets were for the pre-ultrasound days when I would have a big pot on the BBQ at a rolling boil and pop the carbs into into it.