> by investing into a business, you get voting rights to actually influence in which direction a business is heading.

Or you just get entangled in the political battles already happening in that company, which will take more effort and time to untangle to enable you to actually steer the ship into some kind of sustainable business.

So not only you'll be fighting the lack of a sustainability mindset/processes but all the entrenched political powers that made this mindset be realised. Throwing good money at bad stuff is not really a good prospect for investing, better to invest in places that aren't dirty from the get-go.