No, they are the same!
Here is detailed description of my bug:
The problem that I can easily start the process but the first step is invalid. I setup the taskmanager endpoint and its security then I proceed to the workspace, login as any user, for example rstevens, and then I find an end point in new processes. I click on it, form appears and I fill in the form and click on submit button. When I login as the user of Insurance group and I see no new todos for the group. Also I've tried to setup the first step to assign the task not to the group but to one user only. And I login as this user and I see no new todo.
But when I login as the process creator I see the form I filled with all filled data in the drafts folder! I could click again submit but the result is the same. No todos in users workspaces assgned by the first step of process and when I login again to process creator I see that form appears in drafts.
The process was checked on the same Livecycle configuration installed on Ms Windows Server 2003 Enterprise SP1 and result is the same. Also it is the same for the any process with "Assign task" step and taskmanager endpoint.