This will make no sense for authentication realms that do not provide a display name. And the user screen isn't extensible that way (remember, LDAP auth realm is a plugin that depends on available extension points; and core extension points need to make sense for multiple implementations).
One possibility that could be solved in the plugin would be to store the last know display name from LDAP in the user record, and always compare it to the one reported by LDAP; if it changes, check if the display name of the user is the same – if it is, update it, else don't. Then update the stored known LDAP display name.
Besides that, I think the more common use case is when a user's field in LDAP is changed rather than reconfiguration of Jenkins. Same problem, but cannot be solved by manually fixing things, as e.g. changing teams/departments (if part of the display name field) of some user likely happens without the Jenkins admin knowing.
Please be more specific as to what you're trying to do. Providing exact steps to reproduce would be best.