I get what you're saying, but in context it wasn't just a cheap fart joke; it was a good character moment of everyone else just enjoying the ridiculousness of the moment (as they likely would in real life) and Kelrec just being too stuck in his own head and boiling over. It's definitely not the only way they could've done it, but it worked really well, for me at least.
And it indirectly led to this great dialogue in the follow-up, which I think is a good way of reframing how one looks at the joke too:
"So here's the thing: I understand why you feel I abandoned Starfleet. You've had to live in absolutes. But if you make a judgment without context [...] you'll have a hell of a time getting people to trust you or your cadets."
Maybe someone can order a Blizzard?
Though Hirogen Prime and Kazon Prime were seen on-screen in a display early in the episode for whatever that's worth.
This. People forget that these shows are much lower budget than they appear. That's also why they went to a holoprogram of Ten Forward in the middle of Picard season 3. I remember gripes that the writers were being lazy. They weren't out of ideas; they were out of cash.
