I doubt anyone (except maybe OP due to notifications) will be seeing this, but I sometimes browse stuff on my phone then come back to it later on my PC.
There's some discussion and debate about whether increasing / decreasing the share price of a company as an "ESG investor" makes a difference, but I think this is missing something way more important. The problem with doing this from an "activist" approach is that you're doing it in a market where the primary incentive of most of the other actors is monetary. They basically just want whatever makes the most money.
Let's say that the entire stock market is 3 companies: Ace, Brilliant, and Catastrophe, and the share price of each is $10. If a bloc of "green investors" switches their portfolios to exclude Catastrophe due to the company's environmental impact, the share price of Ace and Brilliant goes up, and the share price of catastrophe goes down. However, the majority of this effect is wiped out by other investors, who now see that Ace and Brilliant are overvalued on a purely monetary level, and Catastrophe is cheap - so the market corrects back to either the status quo (where all three are $10), or something very close to it.
Because the likely impact is negligible, it seems pertinent to only do this if the cost (compared to the alternative) is also negligible. For example, you can find not-as-shit ETF replacements that have only basic ESG / climate screening, but are consequently similarly priced to unscreened ETFs in terms of total fees.
Something else to consider (that's more difficult to action) is how your ETF provider (etc) votes, since voting isn't counter-weighted by other investors in the same way. I haven't personally found a good summary resource for taking (easy) action on this as a retail investor, though some/most (?) ETF providers (etc) do publish both their voting record and what their voting policy is. Sifting through the voting records yourself is a good way to experience despair (there's too many), but you can at least see if their stated voting policy has any concern for ESG etc. Of course, then you have to wonder if they're just paying lip service to a "casual ESG investor" or whether they do actually vote differently or not, but hopefully it's better than nothing.