A wrong theory is a theory that is incapable of predicting anything correctly, or one that invokes demonstratively false phenomena (think phloggistons). An incomplete theory is a theory that only does valid predictions in a limited number of cases (think Newtonian dynamics). A non-theory is a theory that predicts proper behavior but cannot be used to predict or extrapolate anything (such as intelligent design). A worthless theory is a theory that, while being able to predict, is neither simpler nor broader then another theory (for a long time, the matrix explanation of quantum mechanics was this, though I think recently it has gotten some more attention).
Claiming a theory is wrong is claiming that it makes false predictions all of the time, which is obviously not true for relativity.
If this is directed at, and thank you for the detail, yes I shouldn't say "Relativity is wrong", I should say it's incomplete. What I keep hearing is a refusal to acknowledge that it might be so, that Relativity is inherently perfect and everything
must be understood to fit within it, even if it really doesn't.
I know this is going to sound stupid, but as long as someone else is bringing up sci-fi short story collections, I'm reminded of one that's always shaped my understanding of Relativity. For an object of non-zero mass to accelerate to the speed of light requires infinite energy. If energy does indeed translate into mass (as would certainly seem to be true), then an object with infinite energy would have infinite mass, and infinite mass would mean
infinite gravity. If an object of non-zero mass achieved full
c, the universe would be destroyed.
Because no object pops into existence already traveling at lightspeed, and there's virtually infinite particles traveling at lightspeed already, either every particle that travels that fast has no actual mass (in which case, E=mc
2 can't be right, because energy has to be mass), or the theory itself is wrong. Whatever the case, it just can't be that simple.