Yes I would usually withdraw the initial amount and play with the full (Or half) profit depending on how much money I need to make
This is a good gambling plan, as this way if you get huge lose streak you will not lose everything that you deposited and what you won, as some, or most of the money will be safe. Personally after i in some money, i take back what i deposited and then i continue to gamble using what i won only, if i lose that i don't deposit again, and i better continue my gambling other day