Many people got fulfillment from playing Chess, or Go, or weaving, or tilling a field with their own hands. Many, but fewer people, still enjoy doing these things today, although machines are better at it than them. Others have moved on to other ways of self-fulfillment.

If you oppose automation of activities people find fulfillment in, you should oppose game-playing AI much more than jobs being automated away. There are much fewer people that hate playing board games but have to do it anyway because it's the one skill they have that will put bread on the table.