In question 1, the answer should be "It doesn't matter, if you are ambidextrous", which means, if your precision is the same with both hands, you can use either one or the other.
In the case of basketball, "it doesn't matter if you are ambidextrous" is wrong, because your hability with your hands is determinant of whether or not the choice of which hand to use is important. For example, if you were not ambidextrous the answer could be "Use your right hand, if you are right handed"
In question 2, the answer should be "It doesn't matter if you are ambidextrous", because there's no value for the cooking wheter you use one hand or the other, if your coordination is more precise with one or the other. Whether you are ambidextrous, right handed or left handed, it doesn't matter which hand you use.
(But, actually, motor skills could affect the quality of cooking in special cases... I'm only referring to the sense you pointed out)