oneworld
lounge access rules:
oneworld lounge access for frequent flyers by tier status
Enjoy exclusive access to premium airport lounges around the world with oneworld Emerald or Sapphire frequent flyer tier status. Members of oneworld airline frequent flyer programmes with the equivalent of oneworld Emerald or Sapphire tier status can use lounges offered by oneworld airlines when departing on any flight marketed and operated by any oneworld member airline, regardless of cabin class being flown (exceptions are noted below).
- Emerald tier frequent flyers can use First Class, Business Class or frequent flyer lounges.
- Sapphire tier frequent flyers are welcome in Business Class* or frequent flyer lounges. (*does not include Qantas Domestic Business Lounges)
- Emerald and Sapphire members may invite one guest to join them in the lounge. The guest must also be travelling on a flight operated and marketed by a oneworld carrier.
- You must be prepared to show your boarding pass and frequent flyer membership card, with oneworld Emerald or Sapphire tier status, to access a lounge.
Nothing about family or children here, I'm afraid. It's up to the airline's lounge rules and staff. AA has been pretty family friendly. LAN doesn't mention family in
LAN - TAM lounge access rules; they refer to
oneworld lounge rules. They also stipulate, for all lounges:
El acceso está sujeto a la capacidad del salón.
(Access is subject to lounge capacity.)
Airlines can, and will, cop out and deny access on this basis.
But it appears to me AA cut you some slack, though Admirals Club can bring two guests and family*, and LAN merely stuck to the rules - you were allowed one guest to the Salón SUMAC / Sumac.
Disfruta junto a un invitado más de 550 salones VIP de LAN y de las aerolíneas de la alianza oneworld. Este beneficio puede ser utilizado por el socio titular (Emerald o Sapphire) y acompañante, sólo si ambos viajan en vuelos operados por LAN o por aerolíneas de la alianza oneworld, sin importar la clase en la que viaje el socio.
Enjoy over 550 lounges operated by LAN and airlines of the oneworld alliance with one guest. This benefit may be used by the statusholder (Emerald or Sapphire) and guest, only when they are traveling on a flight operated by LAN or by oneworld alliance airlines, without regard to the class the statusholder is flying in.
(And, in Lima, they do not have a LAN Club, AFAIK; they use the SUMAQ lounge.)
*Your Membership Privileges include:
...
- Up to two guests or immediate family (spouse, domestic partner and/or children under 18 years of age) may accompany the member
It's not unusual to see a family with two or three children and both parents in an Admirals Club.