People get too caught up in assessed value.....
An appraisal value and assessment value are derived from two totally different perspectives. I can't speak for every township but here in Boston assessors don't even really get into the property to see it.... Assessors don't always see the newly renovated kitchen that an appraiser would take a closer look at. There is an incentive towards an owner to have a lower assessed value , because it means their taxes will be lower.
You're just as well off going to Zillow as you are looking at the assessed value and confusing it with market value.