I had Hof as a cognate to "hall", but that's not correct, it primary cognate is "hovel".

But there's a modern meaning of "pub" — via Korean!

https://en.wiktionary.org/wiki/Reconstruction:Proto-Germanic...

hall is cognate to Halle I think. The proper standard German translation for hall might be Gutshof. But primarily, Hof refers to a yard, and then derived from that, are related meanings. It can refer to a farm (in many German regions a farm consists of several houses /stables arranged in a way that the buildings form the enclosure of a yard, "der Hof", see also David Hasselhof: Hassel-Hof, the Farm of Hassel).

A rural hotel/Restaurant is sometimes referred to as a Gasthof (Gast=Guest).

court of justice = Gerichtshof

royal court = Königshof

atrium = Vorhof

The Korean word your referencing seems to stem from Hofbräu, which refers to the royal court, Hofbräu is the Bräu (= brew) with the royal warrant (from the Königs-Hof).

Think "Pizza Hut", "Radio Shack", etc.

In one of his books, Richard Feynman told of staying in the "Hotel City" (in Switzerland, I believe), observing that in America they would have called it the "Hotel Cité", because using a foreign name makes it sound fancier.