All lounges in TBIT, in my opinion, leave too much to be desired. Being in Super Business Class, you will be directed to EVA's own LAX lounge. From what I remember, they have sandwiches, cup noodles, simple snacks, and a decent variety of drinks. It can get pretty crowded sometimes.
Silver Card and Gold Card members traveling in non-premium cabins usually get sent to the ANA Lounge.