Disable complete button on next steps tile if assigned to a different role than the current one

Hi all,

i've set up "next steps" component in my interface so that a user can check what are the pending activities for a record with an associate case

Language is in italian in this screen, but "Attività" is the next steps component. In this instance it is a pre configured page routed to a group "Amministrazione". My issue is that users from different group are able to open the pre configured page and work on it.

I can toy with object permission and set the record as read only for everyone but those in the group who is owner of the task but other users are still able to open the pre configure page. 

The ideal behaviour would be for the complete button in the task to be disabled for those users that are not part of the owner role. Is that even possible?

Thanks