No,
1) If you have no running auto replies, an app is inactive
2) If you do have active auto replies, an app is in a “sleep” or dormant mode, waiting to incoming texts. Once incoming SMS arrived, Keyword based SMS Autoresponder checking if it contains predefined keywords
If yes, it replies.
SEE MORE
Can I send an image with KW Autoresponder?
Does KW Autoresponder need to run all of the time?
How long can my SMS messages be?
How to Cancel; Restart a subscription on Google Play
How will I know when my keyword subscription going to expire?
Where exported statistic report is stored?
Why KW Autoresponder’ Reports show that message was sent but it has not arrived?