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Will_Sawin comments on The noncentral fallacy - the worst argument in the world? - Less Wrong
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I don't think an analysis of either the rhetoric of abortion opponents or their stances on issues where one can make a similar Schelling fence argument supports that many people believe this Schelling fence argument.
On abortion probably not - there are also big "those women are getting what they deserve" and "having children is good, not having children is selfish" components coming into play and probably play a bigger role than "murder is wrong".
Euthanasia, however, is probably mostly about Schelling fences.
I do not have sufficient data to have an opinion on that.
For most people, beliefs are not supported by arguments at all. If we restrict our analysis to the tiny fraction of abortion opponents whose beliefs are supported by arguments, then I suspect they mostly do believe the Schelling fence argument. All but a tiny minority of that tiny minority believe specious arguments against abortion as well -- so what?
Then I think you agree with the statement of Yvain that Emile quoted and objected to. Indeed you use almost the same language.
I was trying to access, among those who have an argument, some notion of the primary argument: the one they find most convincing or most central to their beliefs. I think the Schelling point argument is the primary argument for only a tiny fraction of those who have an argument.