With the lack of a cold snap in FL this past winter, I dropped belly heat to 85F and ambient temps to 72F (from 88F/75F).
196/197 eggs good so far this season (1 infertile egg). Many of my females ovulated a month earlier this year compared to last year. So, yes, I believe dropping temps helps quite a bit.
A few breeders down here didn't drop temps at all and have had a lot of slugs/infertile eggs.