Just a thought i had while reading your post, and that's wondering if the "sperm" donated by the male into a "cooled" female could be affected?
I'm not completely sold on if it's a bad idea. I tried mating my GBB's this last week just before it got freezing, but it was still cold, and the female was quite slow, methodical and showed a LOT of interest with lots of tapping between her and the male. And most of us know that GBB females are well known for cooking Male GBB stew.
So F1's theory of cooling the female might have merit in my opinion, but maybe not in a fridge, perhaps just a cooler environment. Then there is another issue, maybe the GBB's respond to cooling, but other spices might not. Also if mating this way is successful we'll soon see from the egg cases beceived if or how the fertilisation process may have been affected.
My opinion here is neutral. Nothing ventured, nothing gained, someone will have to actually conduct controlled experiments with different species and supply comprehensive data to support the outcomes. Who knows this could be a total fail, or perhaps a profound new way of ensuring safer and more successful mating attempts.
[DISCLAIMER] I just came out of hospital again... so I might be talking total crap because of medicines...
HS