I guess there are ways to transcend this conflict.

For example, perhaps social networks can sort themselves into two types, public-square type and non-public-square type.

The networks which self-identify as public-square shall (1) employ a stronger set of freedom of speech protection rules, (2) be supervised by the government, an independent council, the media and the public, and (3) receive financial incentive, which could be a limited tax exempt status or governmental subsidy, depending on your preference.