Buckaroo Bonzai:
It is indeed a strawman because an ovum and a zygote are two different things.
It's not really a strawman. The analogy does not imply that both are exactly the same thing, with all the same properties. It's acknowledged.
And even all the post-zygote developmental stages are not "the same thing", in the same manner.
What the analogy does is to compare, which is more humanly important, the completion of the individual genotype, resulting immediately only in a cell, or something else, something more? Can we really speak of unicellular human beings, just because of the human diploid genome, or "humanity" is more than that?
To refute the life of an ovum is not to refute the life of a zygote.
Actually, no one has "refuted" that the ovum is life, because it is alive, not less than the zygote it becomes by being fecundated.
Thought experiment:
Take an ovum and take a zygote and place it within two different artificial wombs (which shall function like real wombs).
Wait 9 months.
What do you have?
In one, you have a fully formed baby (zygote). In another, you have an ovum sitting in an artificial womb.
Ova and sperm are reproductive cells. A zygote is the first stage of development in the human lifespan.
If we accept for a moment that the zygote is an human being already, then is reasonable to question why wouldn't the egg alone be as well. They differ in essentially two things, that are somewhat reducible to one: the haploid stage/its nucleic acids and the "developmental readiness" it confers to the cell.
Well, assuming that the zygote is an human being and pondering whether the egg isn't, would be reasonable to ask why any one of these factors is what confers human-being dignity to the cell? Why is to not fecundate an egg any different from not feeding a newborn baby?
We could then make a similar thought experiment, comparing the further development of a newborn baby that is fed to the one that is let to starve to die; then by just looking at the obvious, that the one that dies dies, we would conclude that only by feeding is that humanity is obtained.
Assuming that the zygote is an human being, and being agnostic regarding the human egg's dignity status, the comparison is quite baffling.
In both cases, most of what there is in one stage is already extant on the immediately preceding stage: most of the fecundated egg is already present on the nonfecundated egg, and most of the fed baby is already present in the unfed baby.
If we were to keep assuming that the overall view that the egg isn't yet a human being before fecundation, then we'd have to find something very special on the sperm cell that really confers the "humanity" to the egg, but isn't present in the sperm itself, since it's accepted to be unimportant.
The only possible conclusion of such path of thought would be that the nucleic acids configuration is what confers the human importance to a cell; that the haploid cell isn't human, but the diploid is (or at least, if it is a non-disturbed, perhaps not artificially induced, totipotent cell).
Then, assuming that it's not a huge tautology in order to just keep with the overall position that the egg isn't human and the zygote is, we would have to ask why the state of these nucleotides matter so much regarding humanity. The closest thing to an answer would be that they make the further development much more likely to happen. But then we're facing again the analogy with feeding.
Honestly, I don't think I did a strawman above. These are reasonable flows of thought of someone who would accept that the zygote is an human being, but would wonder whether the egg alone is as well or is not, taking into account that the fecundated egg is.
I think that the only possible conclusion would be that the egg is as well; that all the possible rationales for the classic stance that the egg isn't would be tautological; that is, that they would require to arbitrarily put much importance in some seemingly humanly irrelevant difference between the two states of a cell, just in order to maintain the desired, pre-conceived conclusion, regardless of any conceivable, obvious, importance of this given aspect.
Alternatively, it would require something more than what is within the scope of scientific investigation, such as the belief that a "soul" enters the egg with the spermatozoon.