I'm not a doctor (nor an expert) but my understanding is that the toxin needs to get into your blood stream in some way. Ancient Hawaiian warriors would jam their spears into "Seaweed of death" (the zoanthids/palythoas in question) then when they'd cut foes it could cause issues.
In our hobby probably the most common way that people have been poisoned is by inhalation via aerosolization, as mentioned in the original posters link. Basically don't do anything to them that can cause the stuff to become a vapor or airborne in a closed area such as inside the house. Such as but not limited to, boiling in water, oxidizing via bleaching, or burning with a blow torch. Since you breath in this vapor it has a much quicker path to your bloodstream as a result you can feel some bad issues very quickly. Having cuts on your hand and working in the tank though isn't usually an issue though, bacterial infections are a much larger concern in that case.
I have read a few stories about a family dog that died after after drinking water out of a bucket where freshly cut zoas were sitting. Ingesting requires a much greater dosage, doesn't mean I'd advise eating them though, and it's questionable whether or not that was the case of the pooch death. If the dog is drinking saltwater in the first place there probably is something wrong. Anthony Calfo has a lovely story in his book though about sticking a scapal that he used to frag palythoas and then put it in his mouth while doing something else, at which point his mouth got a metallic taste, then it got numb or something... but I don't know if that was toxin in nature either
I have heard about eye squirts too (they tend to do that) although I've seen some very swollen eyes, I would suspect those were bacterial in nature not palytoxins.
Basic care that should be had though for anything is eye protection and hand protection (gloves), if you're trying to remove a LOT of zoanthids or palythoas from a rock, think about how you're going about doing it. If it seems like it's too easy then you might be in danger
