Anything official such as a public service or local government should really stop using Twitter. I pretty much consider Twitter to be a porn site with a bunch of angry people arguing about nonsense so there is no chance I can take your organization seriously if you are using this platform.
Any infrastructure or communication channels that has taxpayer money involved should be built on FOSS. Not only for security/control, but to avoid vendor lock as well.
I used to rely on team reporter's notifications for any rain delays during a baseball game, or potential injury scratches during NBA season. Instead, I have to keep refreshing Google to see their tweets (I'm not giving traffic to X, if I can help it).
You can ask the sportsbots.xyz admin (@sportsbots@mastodon.social) to add specific accounts. The posts propagate pretty quickly from Twitter, and you can have them either on your main Mastodon/Firefish timeline or a dedicated list. The downside is that you don't get the Twitter replies, but those are mostly garbage blue-checks now anyway.
I think mainly news and journalists, it would also be nice to see more activists there as well and Youtubers. To be quite honest most influencers and celebrities can stay the fuck away for all I care unless they are actually providing shit of substance. It is very nice being able to completely ignore the Kardashians or generally whatever stupid celebrity drama is going on now.