If you have only one team, then there is no major difference except you will not be concerned about finding the Constraint in the Work Flow, which becomes relevant only when you have more than one team.
With one team alone, you will still be interested in using the Constraint in the Work Process for the purpose of limiting Work In Process by DBR Scheduling. You will also be interested in using Ageing Charts to see if any particular Work Item is slowing down. You will use Buffer Fever Charts to see how all the Work Items in the MOVE are doing, and be able to detect if there is any Constraint in the Work Execution.
Hope this helps!