But the way those lines are differed is markedly different than it is in ESB. Seriously, compare this scene in ANH:
https://www.youtube.com/watch?v=vLgsf8Pei6Q&t=238
You are pulling out pretty much the only example in the ENTIRE trilogy (besides “…and a traitor, take her away!”) where he noticeably raised his voice. Even throughout the rest of ANH his voice and behaviour is otherwise very calm. For example, “I find your lack of faith disturbing” is as calm as anything in ESB. And the two exceptions at the beginning of ANH happen on the same day within minutes. Probably he just had a headache that day or something.