Revert "http: reset parser.incoming when server response is finished"

This reverts commit 779a05d5.

PR-URL: https://github.com/nodejs/node/pull/29263


Reviewed-By: Benjamin Gruenbaum <benjamingr@gmail.com>
Reviewed-By: James M Snell <jasnell@gmail.com>
Reviewed-By: Luigi Pinca <luigipinca@gmail.com>