Downsizing (2017)

Character mistake: When they are having the going away party for Paul, "leisure" is spelled wrong on the cake.

Drunk Guy at Bar: Can I get a normal-sized beer for a normal-sized guy?

Question: The people are downsized at a cellular level. But unless that means changing DNA, doesn't that mean that children of the downsized would be normal sized? We're shown downsized babies, but would that actually happen?