Hi,
By default, when a variant is generated by HikaShop, no price is assigned to the variant.
And when no price is set for a variant, it will automatically use the price of the main product when using it on the frontend. But on the backend, you'll see it as no price set.
If you see a price set automatically in the variant in the backend after the variant is generated, then it means that you probably have a mass action setting that price. So I would recommend checking your mass actions in the menu System>Mass actions.
If it's not a mass action, then it could be a custom plugin, or some other code customization at play here.