Mickey,

Assuming we are discussing punctuation for U.S. publication and not U.K. publication, the answer is there is no punctuation inside the ending double-quotes in the case of: Did you write, "Kinda weird, Mick"?

Editing rules for U.S. publications are neither superior nor inferior to those for U.K. publications. The two merely differ.

Chicago Manual of Style agrees with Modern Language Association and Merriam-Webster Dictionary of English on the issue: “The question mark should be placed inside the quotation marks, parentheses, or brackets only when it is part of the quoted or parenthetical matter.”

In your example, the entire sentence is the question, not the quoted material; thus the question mark is outside the end quote.

Chicago Manual of Style also says, “When two different marks of punctuation are called for at the same location in a sentence, the stronger mark only is retained.”

In your example, there’s no debate I can see for the use of an end mark different from the question mark.

Or have I overlooked a clue in this mystery? Ha ha ha, these puzzles are fun for old has-been research nuts.