show lazyCompilation information while compiling in the client overlay

Feature Proposal

I'd like to provide some feedback to developers while webpack is compiling when using lazyCompilation experimental feature

Feature Use Case

just improve the dx, not thinking that something is broken

Please paste the results of npx webpack-cli info here, and mention other relevant information

System: OS: macOS 12.1 CPU: (4) x64 Intel(R) Core(TM) i7-5557U CPU @ 3.10GHz Memory: 63.11 MB / 16.00 GB Binaries: Node: 16.13.0 - ~/.nvm/versions/node/v16.13.0/bin/node Yarn: 1.22.17 - ~/Dev/entria/feedback/feedback-admin/node_modules/.bin/yarn npm: 8.1.0 - ~/.nvm/versions/node/v16.13.0/bin/npm Monorepos: Yarn Workspaces: 1.22.17 Lerna: 4.0.0 Packages: eslint-import-resolver-webpack: 0.13.2 => 0.13.2 webpack-merge: 5.8.0 => 5.8.0 webpack-node-externals: 3.0.0 => 3.0.0