I installed 2 machines with Redhat 6.0 and enabled inetd durring the install. Both of the installs enabled it at runlevel 4, which is unused in RH6. Using chkconfig I added it to runlevel 3 and all works as expected now.
Selecting inet on the services to start menu of the install causes inet to be a start service in levels 3, 4, 5. It is a kill service in level 0, 1, 2, 6. Can't duplicate your experience.