That sounds a bit like it could have come from Deliverance.

I'd have to see the product ingredients but 99% of all hot sauces don't need refrigeration. If vinegar is high up on the ingredient list then it's shelf stable for years. Just a heads-up when you get a replacement bottle.

Same with soy sauce which is high in salt. People tend to refrigerate it but it actually lasts longer if you just keep it in the cupboard and don't subject it to temperature changes.