Read what they say on the webpages as to what courses are required.
Honors colleges generally provide smaller classes (in unique gen ed classes and/or in major, or the honors section may have the professor instead of a TA), personal advising (especially important for freshmen/sophomores), special opportunities, and may also offer support for internships, research or a project, scholarships, experiential opportunities, better housing, priority registration (that alone is worth it’s weigh in gold).
Employers will not care directly whether the degree has an extra honors college element but they DO care about the special opportunities students have taken advantage of, that come from the Honors College.