Even if this was caused by some “non-hostile” event, that is not the conclusion the world’s militaries would jump to. In the event of a sudden and unexpected loss of any significant portion of their satellite infrastructure (to say nothing of literally all), every country in the world would immediately assume that they were under attack from an unknown, but extremely hostile and sophisticated force.
I have no idea what contingencies the world’s militaries have planned for such an attack, but
I’m sure they’ve got one (militaries spend a lot of time thinking up contingencies to everything they can think of, and on top of that totally outlandish scenarios are often given to officers in training at academies as exercises—and the best ideas often find their way into a manila folder somewhere), and
I’m pretty sure you’d know (at least broad-stroke portions of) your country’s contingency pretty quick if this actually happened. Air-raid sirens, lockdown, emergency broadcasts, etc. all seem extremely likely.
Things would remain tense, but since it happened to literally everybody it would rule out a lot of usual suspects and hopefully the world would avoid actually going to war over it. But even if they became convinced that they don’t know what happened and can’t immediately act, nations would necessarily have to remain on extremely high alert and it would take a long time before everyone got comfortable with the idea that this was actually a freak natural occurrence.