Can we configure separate binary logging (binlog) on Aurora MySQL's Read Replica instance?

A customer has enabled binlog and expecting to get binlogs from read replica instance of Aurora - MySQL Cluster. Here are the steps being followed:

Enabled binlogs via cluster parameter group and set the format to ROW.

Restarted the cluster to ensure changes take effect

Logging into writer node shows

mysql> show master status -> ; +----------------------------+----------+--------------+------------------+-------------------+ | File | Position | Binlog_Do_DB | Binlog_Ignore_DB | Executed_Gtid_Set | +----------------------------+----------+--------------+------------------+-------------------+ | mysql-bin-changelog.000002 | 120 | | | | +----------------------------+----------+--------------+------------------+-------------------+ 1 row in set (0.01 sec)

However, the reader node does not return any value

mysql> show master status; Empty set (0.01 sec)

On both reader and writer, the bin_log_format is shown as ROW

MySQL [(none)]> SHOW VARIABLES LIKE 'binlog_format'; +---------------+-------+ | Variable_name | Value | +---------------+-------+ | binlog_format | ROW | +---------------+-------+ 1 row in set (0.061 sec)

Backup retention value is also set to a non-zero value.

My understanding here is you can pull binlog only from the writer node in Aurora. The replica nodes use redo logs and share the storage layer with the writer. The customer's expectations seems incorrect. Can I be doubly sure here?