Does windows reboot automatically after WuInstall installed updates which need to reboot the machine?

No!

But WuInstall returns a status code, which indicates whether a reboot would be necessary or not.

There is also the /reboot-option in WuInstall (it can be used in combination with all other options). It reboots Windows, after executing WuInstall, in any case.

WuInstall /reboot

just reboots the system, without doing anything else.

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