Make sure you update to the latest version of AOLserver: 4.0.1. To restart an older version you might need -k (which I use anyway), but the latest version may restart with a -t. Now the non-capture issue is that AOLserver is restarting a little too fast. In your 'run' script put in a sleep, i.e.:
sleep 4
exec nsd ...
Neither of these issues has to do with Daemontools, although we need to keep looking for reasons not to use this daemonic tool.