Does deleting open project tasks delete a project?

Does deleting open project tasks delete a project?

I have a technician in a role that allows them to delete project tasks but not projects. The technician deleted there open tasks at the same time leaving only completed tasks on the project. They were then project back to the main project page and all history of the project has been removed. I can't find the project anywhere in service desk? Is removing open project tasks supposed to remove the project? I wouldn't think that's the case but that is what happened.

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