Hi Artem,
I confirm Mark A. Parsons post, you do not need to create Subscription is your case as you do not want to replication data from your Warm/Standby to third database (so Subscriptions are definitively useless in your case).
Regarding the "delete" statement missing, I notice, in "admin who" output, that you had setup // DSI for your standby connection:
-> do you experiences the same issue when // DSI is turned off?
-> which setting do you use for "dsi_serialization_method"?
Yvan.