The first is mentioned and protected by the Constitution, and often employed by Republicans and the right to defend and justify their speech and politics, so no.

>Are you suggesting twitter regularly purges

As soon as you used the word "purge" your bias becomes apparent, so I'm going to find a better use of my time. Good day.

Yes, they're often used interchangeably in contemporary American politics, but the traditional usage remains. Free speech is absolutely a "liberal value" - and for what it's worth, that's coming from an extreme libertarian that is diametrically opposed to most of the Democratic platform.