YES

TRS:

  h(f(x),y) -> f(g(x,y))
  g(x,y) -> h(x,y)

max/plus interpretations on N:

  h_A(x1,x2) = max{1, 2 + x1, -1}
  h#_A(x1,x2) = max{5, 3 + x1, 1}
  f_A(x1) = max{0, 3 + x1}
  f#_A(x1) = max{6, x1}
  g_A(x1,x2) = max{0, 2 + x1, -1}
  g#_A(x1,x2) = max{0, 4 + x1, 6}

precedence:

  h > f = g