I would personally be more inclined to bring it to a rolling boil, put it back in the jars and let it seal and not process it, before I would prepossess it cold.
The folks that make salsas and so forth di it this way into jars and lids that have been through hot steam.
So why not just bring it to a boil and processes it.
Like I said it is puree you aren't going to hurt the texture like you would s pickled peppers.
Worth
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