Although the current state of affairs seems to be that we are hellbent on activating said filter and we‘ll be long dead (at least as a technological civilisation) by the time anyone else receives our current radio transmissions.
True... but odds are also that IF civ's get near to Kardashev 1, there's a good chance they ALSO build AI's, which even if they died out, the AI would live on being synthetic and nearly immortal.
I think it's odd we don't see more synthetic ai type signs of life out there, at least.
I think if we do kill ourselves we might have AI before then to at least broadcast to the universe that we were here.