Distilled vinegar is not the same as cleaning vinegar. Cleaning vinegar has a higher acidity (usually 6-10%) and is not food-grade. It will make your pickles taste like a science experiment, so keep them separate.
It’s also not apple cider vinegar, malt vinegar, or balsamic. Those are made from different base ingredients and have distinct flavors. Using distilled vinegar in a balsamic recipe? That’s a diy disaster waiting to happen.