On February 6, the Wyoming Senate passed SF 98, which says that in school board races, the party affiliation of each candidate should be listed. On February 12, the Wyoming House Corporations Committee also passed it.
There would be no party nominees in school board races, so the labels don’t mean that the party approves of any particular candidate.
Wyoming doesn’t permit voters to register into non-qualified parties. The voter registration form doesn’t have a blank line for party choice; it just has checkboxes for the qualified parties, plus a box to register as independent.