Does the pet owner see the reason when a visit is archived?

I am new to Rover and I'm learning the rules of archiving messages. I understand that it is good to archive so that your profile is not seen as tied up with active conversations with individuals that may not book a visit with you. However, does the pet owner see the archive reason? Sounds so silly to say, but they are very blunt and to the point which is a good thing from a business stand point but, to an owner it may come across as otherwise. Just curious. I have had two different people reach out to me that ended up changing plans but said they would like to use me in the future. So, I need to archive those messages and give reasons. I just didn't want to lose potential business at the same time.
Thank you!