How to disable error/warning overlay in webpack-dev-server 3.11.2

I want to disable the error overlay in development but it seems that configuration overlay: false is ignored with [email protected]

Reproduction

serverConfig here configuration set with overlay: false :

{
  disableHostCheck: true,
  compress: true,
  clientLogLevel: 'none',
  contentBase: '/home/dka/workspace/github.com/pass-culture/pass-culture-app-native/public',
  contentBasePublicPath: '/',
  watchContentBase: true,
  hot: true,
  transportMode: 'ws',
  injectClient: false,
  sockHost: undefined,
  sockPath: undefined,
  sockPort: undefined,
  publicPath: '',
  quiet: true,
  watchOptions: {
    ignored: /^(?!/home/dka/workspace/github.com/pass-culture/pass-culture-app-native/src/).+/node_modules//g
  },
  https: false,
  host: '0.0.0.0',
  overlay: false,
  historyApiFallback: { disableDotRule: true, index: '/' },
  public: '192.168.1.102',
  proxy: {
    '/native': {
      target: 'https://backend.testing.passculture.team',
      changeOrigin: true
    },
    '/saml': {
      target: 'https://backend.testing.passculture.team',
      changeOrigin: true
    }
  },
  before: [Function: before],
  after: [Function: after]
}

Expected Behavior

It should disable the overlay as explained here and here

Seems related to https://github.com/electron-userland/electron-forge/issues/2413 / https://github.com/webpack/webpack-dev-server/issues/4111