Earlier quoted context omitted.
why not plant other species to out-compete the invasive ones? why do we need to perform chemotherapy on our forests?
Only one of the trees I listed was invasive, the others are opportunistic natives to their regions that will outgrow everything else. The nice "diverse" forest you're thinking of in your mind took a long time to become that way, the normal state of nature is to not create a perfect balance out of the gate, but for constant competition and regularly have to cycle through multiple iterations of configuration which are,…
They are mostly chopped down now and replaced with a mixed young forest, all without herbicides. (But with some planted trees, cleansing and fences to protect the young forest from deers) So after 15 years they surely are not comparible to old grown forests, but they are very diverse and alive. So I strongly question the assumption that herbicides are necessary or beneficial to create a diverse forest.
Most of the dominating species in the first years will be (were) replaced by something else eventually.