I have always maintained that Crosswords and Quizzes are very different and treat them so when answering. A crossword tends to be ephemeral and short-lived, quizzes often have months to run.
I have tried the 'giving extra clues' approach but someone always wants to leap in (fair enough), so now try to avoid even that.
I see no problem with the odd question from a quiz but if we take the OP's suggestion fully on board, you could get a quiz in the morning and publish it here and be posted off in the evening. As an avid quizzer I see no entertainment in that.
A fair balance needs to be struck, an almost impossible ask if the past history of this topic is to go by.