I don't agree with the premise that the portion of the edge affected does "no work" as the OP seems to claim. If a kitchen knife is rocked over herbs, garlic, whatever, that part will be in contact with the product and the board.
Also, 20% ugly or 80% beautiful, whatever you want to call it, the whole reason to use pattern welded steel is that it looks nice. So having a yucky looking part welded in will defeat the purpose. Would you give your wife a new car for her birthday where the fourth wheel was only the donut spare and not a full sized rim instead? If so, you're either a braver man than me, or she is awesome and you better hold onto her forever!
Also, 20% ugly or 80% beautiful, whatever you want to call it, the whole reason to use pattern welded steel is that it looks nice. So having a yucky looking part welded in will defeat the purpose. Would you give your wife a new car for her birthday where the fourth wheel was only the donut spare and not a full sized rim instead? If so, you're either a braver man than me, or she is awesome and you better hold onto her forever!