Essentially yes, the camlock pulls together the tapered recess of the back plate or chuck or whatever to the corresponding spindle nose. And this could entirely be your problem if either/or are not matching.
To clarify, when you replaced from chuck A to chuck B & observed pretty much same runout issue, did you mean you bolted 2 different chuck BODIES to the same backplate? Or did you mean each chuck assembly had their own backplate. I assumed the latter. it makes a big difference. If you bolted chuck B to the same backplate then you havent really eliminated the backplate as the problem source. Thats why I suggested the easiest thing for you to do is borrow a friends complete D1-4 chuck/backplate assembly & bolt mount it. If he had 0.002" runout, yours should be comparable.
I bought a new D1-4 face plate backplate & turns out it had a partially finished spindle nose recess. So despite D1-4 tightening, it was not being clamped mated co-axially or co-radially to the lathe spindle, it had a wobble. A quick check is to blue one of the surfaces, clamp up, remove & look for partial transfer pattern. Its not bulletproof but might give you quick insight.