Your logic is perfectly sound, but I suspect most will try the reboot first on the theory that it is faster, easier, and might work.
I felt that way years ago, because shutting down/starting up took more than a minute, but it now takes 30 seconds at most, which isn't a heck of a lot more time than a restart takes.
The new Great Equalizer is the SEND button.
In Memory of Harv: Those who can make you believe absurdities can make you commit atrocities. ~Voltaire