Sandbox を更新すると、スケジュール済みジョブは本番から Sandbox 組織に引き継がれません。そのため、設定にスケジュール済みジョブが表示されないのは想定どおりの動作です。
更新後に AsyncApexJob オブジェクトが Sandbox にコピーされない仕様であるため、これは想定どおりの動作です。
回避策:
更新された Sandbox 内のジョブを手動でスケジュールします。
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