I can go on and on about this, but in English, ending a sentence with "but" kinda has a dampening effect on what came before it (which is why I added parentheses in the translation to try and counteract that effect) and there are ways to say "but" in Korean that does the same thing too. However, the way Namjoon says it here, it does not negate his excitement and happiness. It just invites more conversation.
I saw that the auto-translation just skipped the word altogether and auto-translations are often great but they do do this from time to time. But I think little details like this really help us understand the feeling and intent behind what someone is saying in Korean so I hope it's all right that I share this with you all.💜
I wasn't sure this was coming through in English, but in the first paragraph, Namjoon ends the last sentence with "ㄴ데요" and this is a soft and gentle way of setting up context that is often followed by or invites a contrasting perspective.
I translated this as "(but)" and I hope the feeling comes across that Namjoon was trying his best to be gentle and respectful with us and let us know he really is happy and excited but this unfortunate reality of not being able to rest is happening to them. Please let's afford them the same consideration and respect and let them have peace and quiet and rest.🙏
"More mature & proud relationship", you don't need literal translation of the heavy implication that "greeting" them at airports and going to their hotels should never be apart of the ARMY culture. They need their rests, they need their time-offs, they need their privacy. Simple.