On September 21, 2022, the Center for New Liberalism announced that they were retiring the "Neoliberal Project" name:

So after nearly five years, we’ve made the decision to transition away from the “Neoliberal Project” moniker in favor of consolidating our efforts under the banner of the Center for New Liberalism. We made this decision for several reasons. Having two names and two websites was cumbersome and confusing. Additionally, as we grow we want the focus to be our mission — promoting and defending liberalism during an age where it is under attack. That mission is too important to be distracted by arguments over nomenclature.

However, they stated that they plan to keep the "neoliberal" branding for the podcast and @ne0liberal Twitter account, probably as a concession to the online neoliberal community, which still embraces the neoliberal label. They might drop it as the organization continues to mature, though.