there is nothing to be destroyed if there is no "good reputation" in the first place

You are seeing from European perspective but I can assure you that there is people that seeing western country is a "bad guys" from these region because Western power always trying exert their influence via trade deal, regime change, fund armed group etc

And America is loosing their ability to exert their influence.

You are claiming it has no position while similtaneously using its past position as argument.