Is it possible to restrict the "edit Task" option within a Self-Assigned (non personal) Journey

Summary:

Edit Task is available when you self-assign a journey.

Content (required):

We have a requirement to make a couple of Journeys self-assignable, but this comes with the ability for the individual to Edit the Task. I appreciate that this is mentioned in the implementation guides that this is the case when you self-assign a Journey, but is there a plan for this to be changed?

Version (include the version you are using, if applicable):

23A

Code Snippet (add any code snippets that support your topic, if applicable):