If you run a political site -- such as a PAC or a campaign for a person or issue -- then you should not be able to hide who you are in WhoIs database.
In other words, any political action site -- a PAC or a site advocating for or against a person or an issue -- should contain information about the organization or person who is running the website in a Whois lookup.
A "private domain registration" that shows only the domain registrar, such as GoDaddy, is insufficient for political action transparency. Knowing the provenance of a website is essential information for determining a site's credibility and veracity. This transparency is essential in an ever-crowded digital space, where setting up an online storefront can be done in five minutes.