YES

TRS:

  f(g(X)) -> f(X)

max/plus interpretations on N:

  f_A(x1) = max{0, x1}
  f#_A(x1) = max{2, 1 + x1}
  g_A(x1) = max{2, 2 + x1}
  g#_A(x1) = max{0, 0}

precedence:

  f > g