Ummm…no. Why should she?
Assuming that your unnamed foul shooter is Kaleena and not Tierney (who at 2 for 2 is actually the best percentage foul shooter at UConn this season), there’s no point; Kaleena is most productive shooting three pointers.
As of January 14th, Kaleena is just under 50% when shooting three pointers (45/91, or .495). With the value of a three point shot being three points (obviously), every three point shot that she takes nets the team about 1.48 points.
She is over 55% on two point shots (27/49, or .551). But since these shot are only worth two points (again, obviously) every two point shot that she takes nets the team only about 1.10 points. Her percentage on two pointers is better, but it doesn’t make up for the difference in value.
As UConn’s second-best percentage foul shooter Kaleena is a very impressive 15/16 (or .938). That’s another 15 points – for the sake of argument, let’s assume that they all occurred on two point shots, so, 27 baskets x 2 points, plus 15 more points, all divided by 49 shots; or, even including all her foul shooting points, every two point shot that she takes would only net the team 1.41 points; still less than that per three point attempt.
And that's assuming that all her fouls shots resulted from two-point attempts; those fouls shots could occur from non-shooting situations...some could even occur during three point shots. And every time she drives, there’s also a chance that she could draw a charge...(it’s pretty rare to get called for a charge on a three-point shot.)
While taking pull ups jumpers, driving for layups, putting back rebounds and drawing fouls all make her a better overall player and a more balanced scoring threat, the most productive thing that Kaleena Mosqueda-Lewis can do “for the sake of the team and herself” is to continue to take – and make – three point shots, not to drive for twos and hope to draw a foul.