Having worked in the luxury fashion industry in NYC for over 10 years I can provide some general intel how H conduct their events -
Biggest most exclusive events are store openings with offsite dinners:
depends on the store locations they manage invite lists differently. NYC = Tier A, Waikiki / Miami = Tier B, Palo Alto = Tier C. Tier C openings usually only have in-store festivities in which case customers are usually always invited. Tier B would have an offsite dinner and only high spending customers and SA recommended customers are invited. NYC being a major Tier A store opening, the event was NOT customer facing but rather purely PR driven.
The meatpacking location opening where the opening event was briefly held in store then migrated to an offsite location for dinner : landlords, business partners, media, celebs, socialites were invited. Of course amongst these people some of them were naturally customers themselves too. The guest list was generated and managed by Hermes in-house PR in collaboration with a 3rd party PR agency (usually one that also manage NYFW show invite lists). Spend was not considered as customers were not invited.
Private store events are more customer facing but have tiers too -
1) new China collection launch at the Madison store in 2018 - they only invited top home category customers (some of them had $1-2M spend in furniture and home), for a private Sunday brunch inside the store (day that the store is normally closed) followed with shopping opportunity.
2) carre club (scarf) event in 2018 (in-store cocktail, photobooth and music, no shopping) - SA submitted favorite customers for store director approval, invitation was extended verbally by the SA.
3) holiday closed door after hours shopping night in dec 2018 - SA submitted favorite customers for store director approval, invitation was extended verbally by the SA.
A good relationship with your SA would prompt them to think of you often in turn this would provide more event invitation opportunities.
Thank you very much for your insight! Having been to all three tiers of events at my store, including the new opening, my own experience lines up with what you are saying.