Hi,
The Joomla manager doesn't handle a more fine grained filtering of the display of Modules. You can't blame an e-commerce component for the short comings of the CMS.
Nevertheless, the fact that you don't always see the same thing in your products module is because of how you configured the module itself, not a shortcoming of HikaShop or Joomla. The best would be to configure the module itself properly.
I'm guessing that it must come from the "Synchronize with currently displayed item when possible" option of your module which is activated while you want to have it turned off. You can change that by editing your module (id 147) via the menu Display->Content modules.