What is the primary linguistic difference between using 'request the pleasure of your company' and 'cordially invite you' when drafting an invitation's request line?

The primary difference lies in the social domain and the nature of the request: 'request the pleasure of your company' is a formulaic expression of social etiquette traditionally reserved for formal events where the focus is on the honor of the guest's presence, such as weddings, whereas 'cordially invite....