If I had to pick a species of native, large forest tree that was to be exterminated, the ash might be my choice. It is not very attractive, lacking beautiful fall color, spring flowers, edible nuts, or sweet sap that can be boiled down to delicious syrup. Its wood produces tool handles and baseball bats. Tool handles were better when they were made with hickory and I don’t play baseball.
Now the loss of the native chestnut- there was a disaster.
Of course, I’m half kidding. Who am I to say what species deserves to exist? We humans move the killer organisms around the globe too quickly for tree species to adapt- they are collateral damage of the expansion of human population and technology.