Every element affects the DC solution because
there are tolerances, within which anything goes.
The solution is only as good as you say it has to
be. Change the network and where the error is
largest, can change too.
Changing that "residue" can change operating
point if the network is sufficiently sensitive (like
throw a femtoamp against a gigohm, and your
op amp solves with 1mV input offset instead of
zero and small signal gain drops a few dB, etc.).
Now you'd like a circuit design and representation
that -isn't- so fussy. But figuring out whether or
why, is another chore.