I think that even though a verified Twitter account signifies a higher level of trust and authenticity than an unverified account doesn't mean it has to be a strong point for a new project. Verification only shows that the account owner is a valid person or entity, but does not provide any indication of whether they have expertise, success or credibility in a particular project area.
In order to assess whether a verified Twitter account is a strong point for a new project, it is important to look at the content and reputation of the account. Consider followers, engagement, the type of content posted, and the degree to which the account has proven expertise or success in areas relevant to the project.