sounds like a weak coil.
But yeah, the tune up starts with a compression test, and a valve adjustment.
No carb/dizzy work in the world can correct for mechanical issues relating to cylinder pressure leakage.
The tip-off here is that the problem was not remedied with the new parts.
I have to agree with the fellow who said something to the effect of having a 99% success rate in rebuilding old carbs. I have never in 47 years had to replace a carb on my junk. The only carb I ever replaced with a new part was on a Ford.I don't even recall what it was called. It was a gas-mizer carb of some kind, with variable venturis. The customer wanted it gone!