On Asyn's "not needed", once I executed the downloaded update, I had to click the Start program button in the avast window. That got all the shields going except the Real-time shield going. Once I let avast!Service through the firewall, the Real-time shields went ok. (I don't use the Silent-gaming mode.)
It would be nice to know what caused the problem for W2K users.
Thanks to the avast! team for helping to solve the problem! And also thanks to the other users for their patience and thoughtful replies.
W2K SP4
6.0.1203 Avast
110806-1 VPS
PS: Could we perhaps, under a different thread, get the plans for Avast support of W2K? Avast seems to be sticking with it, but I gotta wonder how much longer.