Did the magazine explain how it would help? Sounds like nonsense to me.
The move was stressful and stopped ovulation. Then, continuously shorter days have prevented the hormones that start up ovulation.
Optimal nutrition along with longer days will kickstart laying. Oats, while not a bad option for scratch grains, especially in summer won't provide anything nutritionally that would stimulate ovulation.
And, by the way, cold should have nothing to do with it either unless it's -20 F.
http://www.thepoultrysite.com/articles/450/several-reasons-why-your-hens-may-stop-laying-eggs