I just read the abstract and part of the intro and I can already poke a couple holes into their study. You should not be able to poke holes into a correctly done peer-reviewed publication.
1) The second sentence mentions ethicality, which depends on the person and is not a fact. There are several ways to humanely and effectively euthanize chicks.
2) They might say it is 80% effective, so just don't incubate the "male" eggs, "saving 5.65 billion chicks from being slaughtered." That is ignoring the approximately 20% of female chicks in the "male" eggs, and the approximately 20% of male chicks in the "female" eggs. They don't look at the amount of chicks that makes up this combined 40%, so almost half, about the normal male:female ratio.
3) The authors are in electrical engineering, and didn't bring in a co-author that is in a relevant department?
I didn't want to read the rest of it, I don't trust their accuracy.
Egg shape is determined by the shape of the hen's uterus/shell gland, and might change over time, but very, very, gradually over her productive life.
Hens do determine the sex of the chick with ZW, while rooster have ZZ chromosomes, but that affects the embryo, not the shape of the egg.
While I was at my internship with Tyson's genetics supplier, Cobb-Vantress, they were talking about a new method to determine sex in ovo by shining a laser into/through the egg and reading the wavelengths it produced. I haven't looked into it, though, and I think it would be too expensive for the average person to get if it was proved accurate. It also might have to be done before the egg is incubated, and require the shell to be opened a bit, increasing the chance of bacterial contamination and decreasing hatch rate.
Holding chicks by the head to see their reaction is inaccurate. Their reaction really depends on the bird's personality.
Signed
-Bachelors of Science, Poultry Science
-Masters of Science, Animal Science (Poultry)