I bought a condo in Poway for $111k in 1990 and the county reassessed it down in increments to a low of $85k in 1996. I didn’t even have to ask but obviously it’s better to be proactive and request it yourself.
However, the Prop 13 basis does not adjust downward and the assessment was “recaptured” with a 2% annual increase using the 1990 purchase price as the basis not the 1996 low.