I dont think that will do that. Becoz our backups will goes to tapes, but those transaction logs are still in $instance/backup/log
however, let me try to save the backup to disk and delete it. And let me see it delete the logs in /$disr_instance/backup/log
I will test it in my test system and will reply back on Monday.
BTW congrats @Richard/lars for SAP HANA Admin book