Cisco Switch/Router/ASA: "Exec-timeout 0 0"

What is the security implications of the following on a Cisco device:

line vty 0 4
 exec-timeout 0 0
 login local
 transport input ssh

First, here is what Cisco's documentation says about the exec-timeout command (I gathered the important information (to me)):

To set the interval that the EXEC command interpreter waits until user input is detected, use the exec-timeout line configuration command. To remove the timeout definition, use the no form of this command.
If no input is detected during the interval, the EXEC facility resumes the current connection. If no connections exist, the EXEC facility returns the terminal to the idle state and disconnects the incoming session.
To specify no timeout, enter the exec-timeout 0 0 command.

Seems like "0 0" might not be a good idea, especially for console access, which I did get in on recently into a core switch without having to login.  Just be aware of the security implications of the configs you do.

line con 0
 exec-timeout 0 0
 login local