There's nothing in Hawaii state law or in any documentation put out by the DOH that attaches any significance to the difference.
It appears that some offices use a blank form with "date accepted" and others with "date filed," as there are multiple examples of COLB's on the internet of both. There's nothing to indicate it's anything more than that.
Would you agree that the fact that there is a difference is significant? Wouldn't you expect something like that to be standardized across the state? If they can't even standardize on the form from one office to the next, what else have they not standardized?
And what are we to infer about a non-standard form for the purposes of qualifying the highest office in the land?
-PJ