No. It doesn't. Because one of the things Hobby Lobby doesn't want to cover is "certain IUDs". Which as it happens are a long-acting reversible contraceptive method that primarily operate by preventing fertilization. They can also be used as an emergency contraceptive, but they're not exactly ideal; pills are slightly less involved than the insertion of an IUD.
I think I found the
source of your claim:
The lawsuit says the family also has "a sincere religious objection" to providing coverage for certain kinds of intrauterine devices and alleges they can cause the death of an embryo by preventing it from implanting in the wall of a woman's uterus.
So that diminishes, but does not refute, point one of my earlier paragraph. The lawsuit is primarily concerned with coverage of the morning-after and week-after pill, and on those primary points the study is still inapplicable. In any case, Hobby Lobby is concerned that those "certain kinds of IUDs" could prevent implantation, which is consistent with their overall position against abortion, not contraception
per se, as you eventually realized:
I have to admit being harsher than was warranted; Hobby Lobby has provided some contraceptive in the past and their suit states they will continue to do so. I've not been able to locate specifics on what they have and would like to continue covering, but oh well.
Even so, this shouldn't distract from the central point of the lawsuit, which is a moral one, not a utilitarian one. Hobby Lobby is morally opposed to covering abortion. However, certain other businesses (likely Catholic-run ones) may be morally opposed to covering contraception, as you again agreed:
However. It doesn't matter if Hobby Lobby provides some contraceptive coverage. They're going after the law, and if they succeed then other businesses will be free to prohibit contraception altogether. Which would increase the abortion rate. Which would be contrary to the goal of saving zygotes and foeti.
The problem is that "the goal of saving zygotes and foeti" isn't a simple question of minimizing or maximizing a mathematical function. It's a moral dilemma. It's the same thing they ask you in philosophy class whether you want to flip the train switch so that one person dies, or leave the switch as-is and let 10 people die.
Incidentally, something like a quarter of zygotes fail to implant all on their own. If a zygote is a person, you'd think the anti-abortion movement would be pouring money into researching methods to reduce the rate at which innocent zygotes are killed by their mothers' bodies. Strangely, this doesn't seem to be something they've done.
It's not strange at all. For natural implantation failures, as well as natural miscarriages, they are content to let the reproductive process run its course according to the mechanism God designed. What they are against is
willful termination of a pregnancy. The willful nature of the act causes it to become the moral responsibility of the actor.