Normally yes... But no. Good business owners normally save at least part of their profits in case of emergency. You never know when business might be down and you still need to make payroll and keep the lights on. So if you don't have that "rainy day" fund where does it come from? Also, good business owners expand their company or at least improve technology and that is expensive and the investment normally comes from profits saved over time.
Plus you have to pay taxes for your income, so even leftover profits aren't totally yours. If you pay yourself a salary, you have to pay taxes on it too.
Just like a responsible individual has enough money to cover an emergency, so does a responsible business owner.
It depends on what business say you have a deli you have to pay your bills electric & gas + employes then you buy more products like soda candy ice cream beer cigarettes etc..then you keep the profit of all the merchandise that you sold it... this goes the same for every other business