Tyler Cowen of Marginal Revolution, following up on his previous post about insurers offering to cover care for pets Left Behind when their owners ascend directly to Heaven during the Rapture, adds (emphasis mine)
I thank James Hinckley for the pointer. Note that this service, unlike the other, vows not to have sex with your pets. That's what economists call quality competition.
Lawrence Abbott once wrote a very good book on that idea.
While this must be reassuring to potential policy owners -- no doubt after the Apocalypse remaining authorities will have bigger problems on their hands than investigating the random hybrid insurance-fraud/bestiality ring -- it reminds me of the old pre-food-labeling practice of promising on the package that, for instance, their product contained no insect parts (canned vegetables) or beets (in fruit jams.) The implication of those claims being that if _they_ felt it necessary to say their products were unadulterated their competitor's products necessarily must. (In the 1960s Mad Magazine parodied the practice with an image of some kind of canned food with "contains no shirt starch" in bold text on the label.
I think it's hard to imagine that many would-be Rapturists seriously worry that their pets might be violated by pervert insurers. If you consider that insurers regularly screw human policy-holders the concern might not be that misplaced.
There's also the "he who smelt it dealt it" factor to consider... if a vendor who offers such improbable assurances would you be more or less likely to trust them?