User timings are lost in App Router

### Link to the code that reproduces this issue https://codesandbox.io/p/devbox/jovial-galileo-8jg569?workspaceId=ws_LyqK2TEkFjjDL6sZSuBF9w ### To Reproduce Open Perfomance tab on any App Router page ### Current vs. Expected behavior Work from https://github.com/vercel/next.js/pull/8069 is lost in App Router ### Provide environment information ```bash any ``` ### Which area(s) are affected? (Select all that apply) Performance ### Which stage(s) are affected? (Select all that apply) Other (Deployed) ### Additional context _No response_