No, there is no exception. If a belief is based upon external evidence, then it is not self-evident.
Example: It is self-evident that a bible is evidence of a bible. It is not self-evident that a bible is evidence that God exists.
Example 2: It is self-evident that complexity is complex. It is not self-evident that complexity means something created it.
Simply that I acknowledge that you believe something, doesn't necessarily mean I am acknowledging what you believe.
That you claim to have proof or evidence of God's existence doesn't mean your claim is true.
And the fact you think logical fallacies are fallacious themselves just means you've assumed an eternally losing position.
If logical fallacies didn't exist, it would be impossible to make a false/fallacious claim.