The phrase 'much damage to' is correct and usable in written English.
You can use it to describe the negative effects of something. For example, "The recent flood did much damage to the city."
"There's so much damage to the orange crop".
People have indeed caused much damage to land and sea, but Cramer is too partisan.
"A leak would do too much damage to the image of the company".
Lobbing a bomb over would have been unlikely to cause much damage, to staff or buildings.
But this does not seem to have done much damage to her popularity.
"There's been so much damage to roads, with freezing, thawing and plowing.
"It does about as much damage to England's image as any other form of international activity.
"It would do so much damage to the Missouri Democratic Party".
There was still much damage to repair, self-belief to restore.
There's too much debris and too much damage to equipment to continue.
This ruling does as much damage to education as it does to the First Amendment.
