For my three houses, their assessment can be on and off but by and large within reasonable range to what I think the market value is. I feel they follow market trends in the neighborhood more, sometimes not to your specific area or community. I usually would also check other sources: Realtor.com and Chase home estimator, which can also be very different.
Example of my recent purchase: Redfin and Zillow assessment about 5-10K apart most of the time, while Chase is 80-100K higher than both, and Realtor.com shows quite different estimates from 3 sources. My appraisal with 3-6 comparators came in the middle, about 50K above Redfin/Zillow and 40K below Chase, and 30K above my purchase price.