I agree that the idea that the idea that Blueberry is both a talent and a real manager is a bit of a stretch, but he does seem to hold a position above the rest of them. As far as the Vesper beef and the awkwardness, a much more likely scenario in my mind is that Vesper blew up at management (either in general or his in particular), Blueberry sided with management because of course he did, Dingo tried to be a good boy and didn't back up Vesper or admonish him and tried to be the kid with his headphones on when mom and dad are fighting, while Magni was a bro and had Vespers back and allowed him to vent in a private call. The other 4 who we know had already been hired probably also tried to keep their heads down on it and not get dragged in. Therefore Vesper is sulking and still lowkey annoyed with all of them except Magni, which inability to suck it up and move on resulting in minor self imposed social isolation kinda does match him since he mentioned early on not having bro's to game with despite seeming like the type.
But thats just a Rrat... a vtuber rrat.
Edit: i forget to mention this on the Dnd thing, for anyone that didn't know WOTC had a pretty big fuck up early this year with them trying to "update" the open gaming license, and pissed a lot of people off and turned many people in the ttrpg community against WOTC and DND. Its possible that with that going on management decided to either pause the series or switch over to a different system and that is taking time.
Altare had a speculated past life (Hanbyeol). As little sense as it makes for Holopro to have a talent also be a manager, it makes even less sense for him to be Omega and an indie streamer at the same time.
As for Altare seeming like he's above the others, I haven't watched enough of them to say. It's possible that during the selection process, they look for one person who will naturally lead the others, and make that one the lore leader. We've seen Bae and Lui (try to) tard-wrangle their genmates ("this little one [Mumei] is not allowed to have caffeine", "mane-chan asked if I could make Laplus do a normal debut") but it's informal and stems from how their personalities show care, not from management outright telling the others to listen to them. But I can't say which type of leader Altare is, since I expect guys wrangling guys to do it differently from girls wrangling girls to begin with, and Altare has rubbed some thread users the wrong way on top of that. To complicate things further, I don't think Vesper would have had a normal response if Altare felt he had to say or do something.
As for "Altare sided with management because of course he did", back when Vesper was suspended,
Altare's public statement was the most supportive ("bully him with superchats when he gets back"), while Magni was the one considering his words ("without downplaying - the severity of Cover's decision - they're within their right - Vesper will be back"). Axel's statement was much as you said, until he opened his big mouth before Vesper came back and said that Vesper fought with management. Of course, that all predates Vesper's manhera in Japan arc.
This all assumes that Altare and Vesper have beef, and that assumption is an attempt to explain the perceived loss of chemistry. Which is fine, but the assumption should be seen for what it is.