I used to be an insurance adjuster. Coverage for this is questionable and the damages would likely be under your deductible. This is a workmanship issue, so the J channel itself isn’t covered. The (hopefully minimal) ensuing water damage would likely be covered, though. My main concern is water inside the wall saturating insulation and creating a mold issue.
If there was significant water inside the wall, the amount of covered damage could escalate to the point that it would be worth putting in a claim. Just know that coverage isn’t as straightforward as the previous comment made it sound.
You’re on the right track with the cedar. I searched for cedar shake style siding and came across this product that looks similar. https://www.jameshardie.com/product-catalog/exterior-siding-products/hardie-shingle-siding/straight-edge-panel/statement-collection-colors/