Let's be clear that Democrats support democracy and the democratic process. Republicans support oligarchy and a new gilded age of robber barons.
If government actually funded news in the public interest, it would mean that Democrats were in charge. Sure, Republicans could always cut funding or pressure publicly funded news if they returned to power. It would be our job to make sure that didn't happen. Publicly funded media can't work under corrupt Republican administration.
But, it's also true that commercial media is being bent under pressure from the Trump administration. Republicans will try to break anything which they perceive as limiting their power. Your narrow focus on publicly funded media seems to miss that big picture.
Democrats don’t support “wrong speak” any more than Republicans - it’s just a different type of wrong speak. I a socially liberal Black guy who supports almost every type of equal rights imaginable would immediately get cancelled and liberals would try to de platform me once I speak out against the one bridge too far for me - biological men in women’s sports or other women only competitions.