Removing the insert is super easy to do. I take mine off periodically to clean under it. Takes about ten minutes and it'll give you a chance to re-attach the few fasteners that have inevitably come off. A little PL Premium construction adhesive and those babies aren't going anywhere.
You just pop out the plastic tabs that hold the insulation to the underside of the hood, remove the little hoses from the bottom of the wiper nozzles, and undo all the bolts.