Surely there is a middle ground.
Most code is trivial.
The question we should ask is whether or A should change whenever B changes. If the answer is yes then there should be a dependency. If the answer is no then no dependency should exist, even if some lines of code happen to be identical at a particular point in time. (That's probably what you alluded to when you said "unrelated pieces of code" and I agree with that).
The number of lines of code shouldn't be the primary concern though.
For instance, if some tax is calculated in a particular way as a matter of law, then that calculation should exist exactly once in the entire code base, even if it's just one line of code.
Spot on.
Avoid applying DRY principles to incidental duplication.