Require trait, check status

I have a project that requires a form, currently using the form plugin, and each element of the form requires a name. While this is a trait, is it possible to require a trait and check all nodes to determine if they meet their requirement?

Following my example one would create a form where the nodes have a required trait of name. A command can be executed to determine if all nodes meet this criteria.

I see in the trait manager documentation that there is a code example with required true. This is not at the individual trait level however. Would greatly appreciate the community guidance!