Does the user_register change in multisite?

There is the action hook wpmu_new_user.

/*
 * Create a user.
 *
 * This function runs when a user self-registers as well as when
 * a Super Admin creates a new user. Hook to 'wpmu_new_user' for events
 * that should affect all new users, but only on Multisite (otherwise
 * use 'user_register').

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