It might be that everyone knows this except me, but why was "Baden I" so named? There was no "Baden II" afaik, and it's not usual to call something Something I until there's a Something II. It doesn't seem to be a misprint - it can be seen painted on the hull in a number of photos. Presumably it's a Roman Numeral I, not a capital "i".
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Baden II was SMS Baden (launched 1915), by that time flagship of the HSF. Baden I had been SMS Baden (launched 1888), which however had been decommissioned in 1910. So, 505 was declared a true landship by naming it Baden I. - And there may well have been a second meaning to that pun as the detachment commander, Otto Uihlein, was an officer of the Baden army contingent.
"Sometimes things that are not true are included in Wikipedia. While at first glance that may appear like a very great problem for Wikipedia, in reality is it not. In fact, it's a good thing." - Wikipedia.