What's a PITA feeder? Sorry, don't mean to derail the topic but I haven't heard/seen that one before.
IIt's important to be careful about offering to one and then feeding another. Be very sure about why there was a food refusal to ensure that you aren't passing on any possible infections that way. Otherwise I'd dispose of unwanted food. It's not worth the risk to the collection just to save the price of an unwanted prey item.
A PITA feeder to me is any snake who doesn't eat at it's scheduled time, quickly and with minimal trouble.
So- my lavender who ate ravenously for a year, then went on a nine month feeding strike, and now will only eat in her viv, only rat fuzzies or pinks, in the evening, if the fuzzy is presented in the appropriate manner which involves the fuzzy retreating from her with a slight rustling of the leaves!
Cali King who previously ate in a feeding bin, no tricks, no problems, who will only eat _mouse_ fuzzies, in the viv, and generally not out of tongs, the fuzzies must be left on the roof of her humid hide.
Huge Florida King who used to eat in a feeding bin but now strikes relentlessly at anything passing by the feeding bin, even if the front of the feeding bin is covered.
I don't consider needing to be covered, or liking rat pups more than similarly-sized mice, or not accepting rats, or needing a single reheat, or needing to be left for an hour or two, undisturbed, in the feeding bin to be PITA; that's just personal preference. It's up to me to figure out the snake's preferred conditions.
I wouldn't re-feed a prey item that's been offered to a snake still in quarantine, or that has been out several hours, but I will re-feed a prey item, after washing in hot running water, among the stabile collection of many years.