Was Twitter correct in fact checking Trump?

Encyclopedia of Opinion

Question: Was Twitter correct in fact checking Trump?
Position‹2 of 2: No, Twitter should not have fact checked Trump

Twitter is in the public sphere and should not be involved in limiting free speech and expression. The President has the right to share what he wants, without censorship from Twitter. Twitter should not wield political power in this way by limiting a particular point of view.

Supporting arguments · 2

Fact checking itself is not black and white, it is subjective
In many circumstances, individuals are not objectively wrong or right, so the act of removing content or tagging it as inadmissible could reveal the media site as biased.
Twitter is a biased actor and frequently targets conservatives
With most users leaning left and the company employing unintelligible algorithms that fixate on keywords, there is a clear political bias showcased by Twitter with conservative voices being censored and fact-checked at a greater rate than their liberal counterparts.