It counts your four combinations as $4!$ different deals. The reasoning is as follows. Suppose that we label the four hands North, South, East, and West, as is standard in bridge. There are $\binom{52}{13}$ ways to choose North’s hand, then $\binom{39}{13}$ ways to choose South’s hand from the remaining $39$ cards, then $\binom{26}{13}$ ways to choose East’s hand, and finally just $\binom{13}{13}=1$ way to choose West’s hand. Since the reckoning takes into account which player gets which hand, each of the $4!$ permutations of these same four hands will be counted separately.