No, I still don't have a definitive answer.
However, after some googling for ap_serv and apserv, I have developed a suspicion that APServ is the router daemon that is responsible for communicating with the Windows router configuration utility. I have not bothered running the Windows configuration utility -- I am Linux-based -- but, if someone wants to try running Windows configuration utility and checking if it can communicate with the router while APServ is running or not running, that will probably produce an answer.
As for me, I have disabled APServ and so far -- after about 10 days -- have not experienced any problems with networking, remote access or else.