With that said, I do think it is plausible, without any appeal to miraculous recollection, that an expert on the Scriptures, might well remember a misquotation of Scripture made to the King about the Messiah (no matter what the reason was for the misquotation). It would stick out like a sore thumb to such an expert. And the expert’s recollection of the misquotation would only be enhanced if he came to believe that the Scripture was misquoted regarding the true Messiah.

I doubt they’d remember the precise wording decades later. I think you need to rely on actual divine intervention in this sort of case.

There is another possibility as well.

The quotation of Micah 5:2 in Matthew 2 is actually a case of the priests and elders quoting it to Herod. They misquote Micah. Because these are experts in the Scripture, the misquotation is probably deliberate. Perhaps it was a popular misquotation of the passage at that time (just as “Spare the rod, spoil the child” is a popular misquotation of Proverbs 13:24 these days). Or they may have had other reasons for misquoting it.

In any event, the priests misquote Micah, and Matthew accurately reports this misquotation. This is not a problem for inerrancy.

(Presumably, one or more of the people privy to this conversation later converted to Christianity and served Matthew as the source.)