Yes, holding bitcoin will put upward pressure on the price, but using bitcoin will put upward pressure on the actual value of bitcoin.
What exactly do you define as Bitcoin 'value'? It is impossible to you to valuate something by itself with no measure against anything else, hence things are often valued against a currency (ie xyz is worth xyz dollars). Assuming you're meaning this then both your statements cannot be correct as you don't get upward pressure by both spending and saving it. That would mean it would spiral upwards infinitely which is not the case.
