To replicate:
1. Have a damaged bow in your inventory, 1 piece of Redstone and 7 pieces of cobblestone.
2. Use a crafting table, make sure your recipe book is open, filter by "showing craftable".
3. In theory, the dispenser should show up as craftable, since you have the materials required. In this case, it does not. Probably due to the recipe not recognizing that a damaged bow is allowed.
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duplicates 1
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Duplicate of MC-123002
This might be intended so that enchanted bows or bows that are actively being used by the player are not accidentally used in the crafting recipe.