The word pulp is misleading here, because when you make orange juice, you are making JUICE not sauce. So yes remove pulp. Hot sauce is not juice. It is sauce. Like cooking down tomatoes to make smooth sauce. It's really all in the cooking and prep. Remove your seeds beforehand! If a few make it in fine. But that "pulp" is the actual pepper flesh, um, do not remove it! Cook it down. It will break down. Blend it, etc. Some people like the more fresco type sauce and do not want to cook it down so long. In this case I have found blending first is best. So pop those peppers and liquids in the blender, and THEN the pot. It will be smooth in minutes. These are tips to avoid the strainer but if you must, as in, it is simply too coarse or thick, or has hard bits, use a food mill with a medium plate and not a mesh strainer, the horror!