The regulation makes repeated reference to proportionality.
> Taking into account the nature, scope, context and purposes of processing as well as the risks of varying likelihood and severity for the rights and freedoms of natural persons, the controller shall implement appropriate technical and organisational measures to ensure and to be able to demonstrate that processing is performed in accordance with this Regulation. 2Those measures shall be reviewed and updated where necessary.
For a simple forum this is a simple privacy policy.
And forums should already have something like this if they're complying with EG US COPPA or similar.
I’ll let you figure out the rest.
https://gdpr-info.eu/recitals/no-18/
> This Regulation does not apply to the processing of personal data by a natural person in the course of a purely personal or household activity and thus with no connection to a professional or commercial activity. 2Personal or household activities could include correspondence and the holding of addresses, or social networking and online activity undertaken within the context of such activities. 3However, this Regulation applies to controllers or processors which provide the means for processing personal data for such personal or household activities.
I’m sorry that this is a distinction you weren’t able to make.