Earlier quoted context omitted.
Global outage implies everyone on the planet. Outages globally would imply what you've stated.
Someone's in a really pedantic mood today. The real life use of the expression contradicts your personal definition (try googling it and tell me what you come up with). It is widely used in reporting and accepted by everyone who's not in the mood to argue personal definitions. Then again... Schrodinger's outage. Until everyone checks some people are not affected. Hence, never global. Right? But honestly now, are you…
Hint: it's you