I think you’re missing the point of LDAP then. It’s a centralized directory used for querying information. It’s not necessarily about user information, but can be anything.
What you’re asking for is akin to locally hosting a SQL server that other machines can talk to? Then it’s just a server. Start an LDAP server somewhere, then talk to it. That’s how it works.
If you don’t want a network service for this purpose, then don’t use LDAP. If you want a bunch of users to exist on many machines without having to manually create them, then use LDAP, or a system configuration tool that creates and keeps them all eventually consistent.