I'm still not convinced, and I've definitely heard and examined the Karl Popper paradox you mentioned. There's some strong insinuations in your response, but the main point of contention I have is this notion that by merely letting an idea/stance exist there is culpability and support for 'eradication'.
>"That's fine - should you ever find yourself as part of a demographic that some other group wants eradicated."
How do you know I'm not?
>"In fact, just out of principle, make sure they have access to as many platforms as they want"
Just having a platform, or being on lots of platforms, does not guarantee an ideology will succeed or spread substantially.
>"Maybe even try to engage them in debate, despite the unequal power dynamic between truth and lies"
Refuting lies is difficult, but it is still worth doing. I think its better than giving up and using force.