If all you're looking for in the comparison is "somewhere to sit, a coffee machine, etc." then it matches many things. GP's point with the airport lounge comparison is that it matches not just in objects but in purpose / business model.
The interesting thing is the pricing model - at the airline club, you prepay for it by either paying per session (very expensive), having a club membership through some means, or else it's baked into the price of a first-class ticket.
In the per-minute case, I'm trying to think of how usage patterns would vary from those of an airline club. It would be interesting to compare to other models as well, such as a co-working space that offers free coffee and treats.
