Yes, HADR would have to at least read the log buffer, and if HADR was in catch-up mode, log disk reads would be required. I don't know if the snapshot value of log pages read includes the log buffer.
For that matter, same applies to other processes that read the log buffer or log disk, such as SQL Replication, Q-Replication, CDC (Change Data Capture), etc.
However, some of log reads may be outside of the DB2 engine and maybe not captured in the database snapshot. The logs are just OS files, and anyone with the correct UNIX permissions can read the files without DB2 knowing about it.
I am not sure why you are so concerned about it.