can we split the Whatsapp Message (Business Messaging) to only appear to certain user?

can we split the Whatsapp Message (Business Messaging) to only appear to certain user?

I know that we can split the leads record if a user send a message through Whatsapp API in here



as you can see from the image above, we assign two users to handle the messages

but it seems to me that all users can see all messages in the 'Message' module below



I assign two users, so I expect those 6 messages will be split 50:50, so each user can only see 3 messages. can we do that?