Straight off the bat It is a bad Idea.
The strain on the spider, Risk factor, not practical in the mating game.
If you think how ruff mating can get and some time the force of the male used, now you add a frozen tarantula that can barely move and you add a male that has got one thing in mind, the female wont be able to either stop he's advance or control him. :starwars: . She also need to be able to bend, if she is frozen she can't allow that to happen.
Here is another when a spider is molting the spider is at its most vulnerable state, a frozen spider will be in the same category.
If you have seen a cold spider they basically are dead, I have had a 10cm
B. vagans and 3 other spiders that wore frozen as the heating pad I was using failed in the middle of winter, they wore out in the open part of the "Spider House" which basically gets as cold as the outside temps even colder.
Normally, mating of spider happen in summer early spring, it normally happens at warmer temps so now putting a spider into the freezer is risky at best, you have to time it right or you can kill your spider!
The amount of effort you need to put in to making it work, the right time in the fridge, the male not interested so you have to do it over and over.
Basically give the female a ruffy(date rap), cause that is basically what you are suggesting! :evilgrin: :spider: :drunk:
I would say try it with something like a Curly and see what happens to it!
I have 2 Mature males.