CONFIG_STDERR_CONSOLE is not available for thedefaultarchitecture x86.
Result is shown for architecture um

stderr console

modulename: stderr_console.ko

configname: CONFIG_STDERR_CONSOLE

Linux Kernel Configuration
└─>UML Character Devices
└─>stderr console
In linux kernel since version 2.6.12  
console driver which dumps all printk messages to stderr.

source code: