On june 6th I posted this question. After about ten days, someone posted an answer. This was (at the time I'm writing this) thirteen hours ago. When I logged onto stackoverflow this morning, the first thing that caught my eye was this Have you considered accepting an answer or starting a bounty for this question? message, which I saw at about the same time as the message telling me I had a new answer to a question.
Now, while I can appreciate the notion of reminding people to accept answers if they're correct, some answers given may lead to a correct solution of a problem but do need research. Basically, to allow for this, I'm asking for delaying the appearance of the "Have you considered..." message for a certain period of time after the first answer to a question is posted, simply because it's not always possible to tell by looking at it if the answer will work or not.
EDIT Looking at this blog post on New Question Asker Features, maybe three days would be a good delay time. That'd almost account for weekends - at least for those people who still got them ;-)