Valdemar II
Banned
With the death of Duke Julius Francis the Lauenburg line of the House of Ascania was extinct in the male line. However, female succession was possible by the Saxe-Lauenburgian laws. So the two surviving out of the three daughters of Julius Francis, Anna Maria Franziska of Saxe-Lauenburg and Sibylle Auguste of Saxe-Lauenburg fought for the succession of the former, the elder sister. Their weakness was abused by Duke George William of the neighbouring Brunswick-Lunenburgian Principality of Lunenburg-Celle, who invaded Saxe-Lauenburg with his troops, thus inhibiting the ascension of the legal female heir to the throne Duchess Anna Maria.
Also other monarchies claimed the succession, resulting into a conflict involving further the neighbouring duchies of Mecklenburg-Schwerin and of Danish Holstein, as well as the five Ascanian-ruled Principalities of Anhalt, the Electorate of Saxony, which had succeeded the Saxe-Wittenbergian Ascanians in 1422, Sweden and Brandenburg. Militarily engaged were Celle and Danish Holstein, which agreed on 9 October 1693 (Hamburger Vergleich), that Celle anyway de facto holding most of Saxe-Lauenburg will retain the duchy, while the fortress in Ratzeburg, fortified under Celle rule and directed against Holstein, would be razed. In return Danish Holstein, which had invaded Ratzeburg and ruined the fortress, would withdraw its troops.
What if Denmark had gotten Lauenburg instead of Hanover, would it had weaken the Danish position in the Great Northen War that Denmark had cheaten the Hanovean Kings of England from their "rightful" gains in this conflict or would the offer of Bremen-Verden be so great that they still join the war. What would the effect of gaining Lauenburg have for Denmark? Today it's relative densely populated area for a mostly rural area and the neighbouring part of Holstein had quite fertile soil, which indicate Lauenburg has that in common.