Seems like a very archaic, colonial type of concept. I cant imagine hipster digital nomads joining, and there are very few of the old style US conglomerates still operating here.
If you want a similar lunch experience, the Naval Club, on Maipu and Cordoba, has ancient waiters, 1960s menu items, interiors and furniture untouched for decades, and a view of the microcento. And its cheap and pretty decent, basic, food. On the website, lunch is listed at $1500 pesos.
I have eaten there last year, and enjoyed the time travel, and the meal.
https://www.centronaval.org.ar/sedes/sede-central.html