I think we don't need here options.attributes, let's add a hook like we have LoadScriptRuntimeModule - createScript, let's add here createStyle and pass the code to hook,

Also let's set:

'script.setAttribute("data-webpack", dataWebpackPrefix + key);'

just look at LoadScriptRuntimeModule, key is module id in our case

I think we need to add a check here, is target universal we should generate it, if web we should not generate it, because in web we always have document

We can rewrite it and improve perfomance using data-webpack-module-id data attribute, so we will no need to go all style tags, we already will know what we should remove or update, the same for other part of generated code

Maybe we can simplify domAPI and avoid this function at all injection, logic there we need to call it, we have it in style-loader due we don't have hooks and we will need to pass options from style-loader, here we have hooks so maybe things can be simplified and if somebody want to modify logic we will just introduce more hooks

let's use document.head.appendChild(style), also let's rename to style, we are using this pattern everywhere, not sure why we have this fallback in style-loader