Mariadb galera cluster slave lag

When Mariadb galera cluster comes across a big transaction ,like insert into a table 1000,000 rows ,or update a table 1000,000 rows ,Doesn't the slave
lag?
when I commit at the first node with a big transaction, and It show complete. But the other nodes don't have the same date with the first one and after some seconds they do.
The galera cluster just copy the transaction to the other nodes,and say it complete.So mariadb glare cluster miss a transaction it have lagged,but when the transaction is small ,the time it used is small ,and we doesn't fell it.