Risk of developing eczema or asthma in child is decreased with increased vegetable consumption by the child or the mother

I attended a lecture on atopic dermatitis (eczema) by an expert physician.  A comprehensive discussion ensued. pharmacological and then non-pharmacology management were discussed in detail.   The role of diet in eczema was touched upon but left me little confused.

So I did a quick research on the Internet and came up with some evidences suggesting that a diet rich in vegetables and fruits for either the child or the mother can both decrease risk of eczema (atopic dermatitis) and asthma in the child.

“A Traditional Diet Is Associated with a Reduced Risk of Eczema and Wheeze in Colombian Children”

Conclusions: A traditional diet might have a protective effect against eczema and wheeze in Colombian children, whilst intake of fast foods increases this risk.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4516989/#!po=1.06383

“Effects of Fruit and Vegetable Consumption on Risk of Asthma, Wheezing and Immune Responses: A Systematic Review and Meta-Analysis”

Conclusion: In summary, overall, the findings suggest that high intakes of fruit and vegetables may have beneficial effects in asthma.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5409680/

“Consumption of vegetables, fruit, and antioxidants during pregnancy and wheeze and eczema in infants”

Conclusions: Higher maternal consumption of green and yellow vegetables, citrus fruit, and β‐carotene during pregnancy may be protective against the development of eczema in the offspring.

https://onlinelibrary.wiley.com/doi/full/10.1111/j.1398-9995.2009.02267.x