Does it even count if the timeline where it happened was erased, or is it simply that the headache of trying to wrap your head around the paradox is bad enough?
I don’t know about “worse natural disasters,” but Voyager definitely had it worse. At least when the Enterprise crew ran into cosmic death traps they could call for backup, or get a nice maintenance overhaul at a starbase after some Q shenanigans.
Voyager had it worse than Enterprise-D in general, but I am struggling to define "natural disasters" in this case. I'll need help with this as I am not an Enterprise-D expert, but I think I can explain more about what I think is proper context from Voyager.
Strange aliens that invade the ship are just aliens doing what they do. It's natural, but technically not a disaster.
Voyager getting pulled into the delta quadrant was an act of an entity and not really a disaster in the whole scheme of things. It was really bad, but limited in scope.
I almost classified a planet being destroyed by a dangerous power source explosion a natural disaster, but it's not. It's humanoids doing stupid humanoid things.
Voyager does have "Shattered", that seems natural and a disaster, but it's limited to just Voyager.
"Year of Hell" is so close, because time itself is keeping the imperium in a never ending cycle of wiping out entire civilizations, but doesn't make the cut because it was still the work of one crew and the "disasters" technically never happened.
"Friendship One" may be in the running because a civilization was "gifted" with matter/antimatter tech before it was ready. It was a mistake of pure chance that kicked off a path to the destruction of a society.
(Enterprise-D had a few episodes where they were saving planets from actual natural disasters though. As mundane as that sounds, some of those may come out on top by definition.)
Edit: To completely destroy my own attempt to set content, "The Omega Directive" may be it as the Omega particle was able to create subspace ruptures. It's perfectly and evenly tied with Enterprise's "Force of Nature" where warp drives were destroying the fabric of subspace itself. In that context, both win. Unintentional and unexpected natural consequences of one force of nature acting on another. (I just completed wrecked my own previous arguments, I know. Just having too much fun with this one, s'all.)
If you're a crew member on the Enterprise D, you have died. Probably more than once. Between Timescape, Cause and Effect, Yesterday's Enterprise, and All Good Things, the ENT-D has been blown to smithereens with all crew on board multiple times.
Voyager did this too, but far fewer times that I recall.