IIRC, if it's a proper Damascus blade, the pattern goes through it. If it's acid etched to make it look like a Damascus blade, it's just a surface pattern that can be worn off.
the defining characteristic of Damascus steel is the formation of carbon nano tubes in its structure.
given the original production process has been lost o time this is certainly no longer a factor.
Damascus now means striations of hard and soft steel with a visible difference.
ts a worthless fator.
you can hammer a bit of old steel cable into a modern Damascus blade with a blowtorch and a hammer
but given you're using it as a kitchen knife and not a ******* sword to have a fight with another guy with a steel sword its an utterly worthless metric.
for a kitchen knife Damascus or homogeneous steel is meaningless it is a factor in a sword not a knife. (unless your smacking you kitchen knife against another will all your bodily might, then it matters) as its about its resistance to impact/swordplay, zero to do with cutting ability.