There are some lines where the opening name might impact move choices, such as one with Gambit or Poisoned Pawn variation
Last I recall, it wasn't something they were looking at removing.
i hope they do remove it though it does influence people. i have complained to chess.com directly
edited
the word gambit is influencing them not taking the pawn. an 800 rating player isn't going to leave the pawn alone if the opening name wasn't shown.