Now, here is the most recent experience with the digital card:

- LATAM lounges (SCL, GRU, MIA): no problems at all

- American Airlines Admirals Club in:

GIG - for some reason the boarding pass didn't contain my Emerald status and they asked for my card. I showed them the digital card from smartphone - worked like a charm, no more questions were asked

DFW - no problems

JFK - no problems. Then I specifically asked the agent about the fact that LATAM is switching to digital and how this will affect lounge access. She said they are aware of that and LATAM digital cards are recognized by them.