Yes, SolidWorks' performance may suffer if the chipset doesn’t support hyperthreading, but the significance of the impact may vary depending on the specific tasks you do. For instance, if your computer supports hyperthreading, it will run smoother with operations like rendering, simulations, and complex assemblies.  On the flip side, single-threaded tasks like sketching, modeling, and feature creation don’t require hyperthreading support to run smoothly.