Mark the recipe I posted was at one point produced commercially. The key to its ‘keep-ability’ was that it had a low Ph due to the acidic content of the Verjuice plus the addition of salt and the honey. (I had each batch tested though a lab). Obviously my product was stable without refrigeration as it sat on supermarket shelves. Without knowing the quantities, and/or what other ingredients you used it’s hard to comment.
However, a little science from Harold McGee! By adding moisture to the seeds it revives the seeds enzymes and allows them to liberate the pungent compounds from their storage form. Acidic liquids slow the enzymes – but also slow the later disappearance of the pungent compounds as they react with oxygen and the other substances in the mix.
Refrigeration is not mentioned.
With my recipe I found I had to soak the seeds in the liquid first before adding the other ingredients as the honey retarded the soaking process and the recipe simply failed. I have never had a batch go rancid and still have jars un-refrigerated and un-opened that are years old. I only refrigerate after opening.
How about we swap a jar or two?