Is there a word that means “influential location/place”

^{[As requested, posting this as an answer instead of a comment]}

There's lexiphanic, which is using pretentious wording or language, but it doesn't have the sense of intermittence you wanted.

(I found the word by plugging "using long words" into a reverse dictionary. The first two results, sesquipedalian and sesquipedality, are also good, but they don't necessarily have a negative connotation like lexiphanic.)

There's also refectory:

A refectory (also frater, frater house, fratery) is a dining room, especially in monasteries, boarding schools and academic institutions. One of the places it is most often used today is in graduate seminaries. It is derived from the Latin reficere: to remake or restore, via Late Latin refectorium, which means a place one goes to be restored. [Wikipedia]

the root of which it shares with restaurant:

Modern restaurants ... emerged only in 18th-century Europe, although similar establishments had also developed in China. A restaurant owner is called a restaurateur; both words derive from the French verb restaurer, meaning "to restore". [Wikipedia]

Oh, and of course beanery, hash house, greasy spoon, & automat.