The inconclusive findings are the latest addition to the murky world of research into pregnancy and alcohol consumption.
There is no definitive guideline on how much alcohol is safe to consume during pregnancy. Even studies that say it is dangerous refrain from specifying the amount.
The CDC warns that: "There is no known safe amount of alcohol use during pregnancy or while trying to get pregnant. There is also no safe time during pregnancy to drink. All types of alcohol are equally harmful."
However, many studies have found it is safe - and some (a minority) have even encouraged a few sips here and there along the way.
This new study by the Murdoch Children's Research Institute in Victoria, Australia found any alcohol consumption has consequences on craniofacial development.
It is one of the first research papers to explore how alcohol could affect facial features of children who do not have fetal alcohol syndrome.
Researchers recruited mothers in the first trimester of pregnancy from low-risk, public maternity clinics in metropolitan Melbourne, Australia, between January 2011 and December 2014.
They ended up with 415 white children (195 girls and 220 boys) who had been exposed to a full range of alcohol - from binge drinking throughout pregnancy to low level drinking in the first trimester.
Each one was photographed from many different angles when they reached one year old.
Analyzing the three-dimensional craniofacial images, the researchers found significant differences in craniofacial shape between children of women who abstained from alcohol during pregnancy and children with varying levels of prenatal alcohol exposure.
Stark differences were seen around the midface, nose, lips, and eyes.
Alcohol-exposed children tended to have a more sunken midface and a turned-up nose.
Those who experienced low exposure in the first trimester tended to only show differences in their forehead size.
Babies with moderate to high exposure in the first trimester tended to display developmental differences in their eyes, midface, chin, and head.
Binge-level exposure in the first trimester tended to affect the chin.
The authors concluded: "Although the clinical significance of these findings is yet to be determined, they support the conclusion that for women who are or may become pregnant, avoiding alcohol is the safest option."