Thanks for writing back.
The reply modal always is linked to the first message in the view because, the code for the modal in the reply was not unique, as I showed in my screenshot: hidden link
I've made that reply modal's button and the modal content unique again, by including the current post's ID and it is fixed.
Screenshot from view: hidden link
Screenshot from content template: hidden link
Let me explain my last point in a different way.
Right now, there is a code for the reply button but no content for the reply modal window in the content template "Read Message".
( screenshot: hidden link )
This fixes our nesting issue for the modals on the view page ( {yourwebsite.com}/parent/testing-test/ ), but, if you'll visit any single "Communication" post page ( like {yourwebsite.com}/communication/title-test/ ), you'll see that the reply button doesn't trigger any reply modal window.
This is because, the single "Communication" post pages also use the content template "Read Message" and we have removed the reply modal's content from it.
To avoid this issue, I shared my recommendations in the last point. To fix this, you can follow these exact steps now:
1. Create a duplicate of your content template "Read Message" and name the new copy something like "Read Message for views".
2. Copy (but not cut) the code for the reply modal window from the view "Parents Messages" ( screenshot: hidden link ) and paste it in the original content template "Read Message" ( screenshot: hidden link ).
3. The outcome would be that the code for the reply modal window will be available in the original content template "Read Message" and in the view "Parents Messages", but not in the newly duplicated content template "Read Message for views".
4. The last step would be to change the content template's name in the shortcode "wpv-post-body", so that instead of loading the original "Read Message" content template, it loads the newly duplicated "Read Message for views" content template.
( screenshot: hidden link )
I hope this makes it more clear and let me know if you have any follow up question.