Wise to not have any of the stuff anywhere. The off-gassing from records is nearly instantaneous and reaches measurable levels where it's dangerous within minutes - having the extra surface area for off-gassing from the grooves makes it much worse. A vinyl collection is certainly better than other vinyl things like you mentioned since an album won't off-gas much in its sleeve, but playing one will definitely do a bit of liver damage if you're near it.
> playing one will definitely do a bit of liver damage if you're near it
That sounds a bit exaggerated. There is evidence that occupational exposure to PVC compounds causes liver damage or cancer, and that’s mostly regarding workers in production lines. You’d have to be closely sniffing your record collection for hours on end to get the same effect.
If this was true you’d have entire generations from the 19x0s suffering from liver failure, as vinyl was the only media available, with billions of records sold.
I meant a bit in a diminutive sense, since the trace exposure to phthalates and dioxins which you will be exposed to when unsheathing a record will have lasting effects on your liver. They won't be severe, but the liver has to work extremely hard to cope with phthalates and it leaves a mark even if it's just a bit and leaves a trace mark. You're taking the least generous spirit possible while talking about phthalate exposure which has strong and lasting effects on the liver even in trace amounts:
https://pubmed.ncbi.nlm.nih.gov/6373551/
I’m sure vinyl records off gas, but I’m extremely dubious about the liver damage you propose. With all substances the poison is in the dose; you’d need a huge vinyl collection to match the amount of vinyl typical in a typical home with a shower curtain and vinyl windows, let alone one that uses vinyl flooring.
You're not going to die or feel any ill effects from a brief exposure to the phthalates and dioxins released by vinyl, but those phthalates and dioxins both hit the liver very hard while dioxins are carcinogens even in trace amounts. It would be wise to avoid even brief contact: