No, you're right: Hillary didn't talk about limiting abortion. But making abortion rare as a goal logically limits the availability of abortion. That's reality.
Let's play the tape forward and imagine you've met your goal of safe, legal, rare abortion. Let's say that we have perfect birth control, used perfectly, 100% of the time. So that makes the need for abortions much less, because unwanted pregnancies don't occur. It's a world where almost all pregnancies are perfect, wanted, and planned-for. Well, that would serve the goal of making abortion rare, wouldn't it? So why would we need a bunch of doctors who can perform abortions and why would we need a bunch of abortion clinics? After all, it's such a rare procedure now because every pregnancy is wanted. Eliminate the clinics - there's no need for them. But what if you're one of the very rare women who ends up with a fetal deformity they couldn't test for until you were well into your first trimester, a fetal deformity so awful that the baby will be born in pain, gasp for breath, and die as it is coming out of the womb? And you want to avail yourself of the safe, legal, rare abortion to spare that poor child from that painful birth/death. Where are the clinics? Where are the doctors? Who is going to give you an abortion - which you legally can pursue - if it has become so rare that hardly anyone does them?
Do you see that point? What if we live in that world where abortion is rare and so there are no clinics anymore? Then where would the rare woman go when she does need one?