Currently I can run:
C:\>sdemon -o info -I users -s <server name> -i <service number>
ArcSDE Instance 5192 Registered Server Tasks on s0140404 at Mon Mar 10 13:12:06
2014
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S-ID User Host:OS Started
But using the Geodatabase Administration dialog box with a regular user that is schema owner but not SDE owner I can not see the "Connections" tab.