It would be just like using stock paste or powder that you need to add water to. Take meat off the bones.Pressing on the solids is not normally recommended for the very reasons you site. Cloudiness, impurities and fats. Then when ready to use, water is added. Different chefs suggest different cooking times for stocks, and even worse, cooking time depends on the weight of the bones you use for the stock. We've always said that the high temperature in a pressure cooker gives better extraction and meatier flavors than normal cooking. Turns out we were wrong. Cooked meat, or broth, can sit at room temperature for two, three days before any bacteria invade. Have you never made "eternity soup?