Was Angel Gabriel fair to punish Zachariah for doubting the message of God,give different points of views negative and positive views

Give positive and negative views, was Angel Gabriel fair to react to Zachariah's doubt in the way that he did? The account is found in the first chapter of the gospel of Luke. (Quoted below from the NKJV) > 13 But the angel said to him, “Do not be afraid, Zacharias, for your prayer is heard; and your wife Elizabeth will bear you a son, and you shall call his name John. > 18 And Zacharias said to the angel, “How shall I know this? For I am an old man, and my wife is well advanced in years.” > 19 And the angel answered and said to him, “I am Gabriel, who stands in the presence of God, and was sent to speak to you and bring you these glad tidings. 20 But behold, you will be mute and not able to speak until the day these things take place, because you did not believe my words which will be fulfilled in their own time.”