Starfleet academy looks like hot garbage to me. Am I mistaken?
I’m a bit behind, but I think it’s a bit hit or miss. The hits are really good, though. To be fair to the show, I’ve found the misses to be primarily the parts focusing on teen drama because I just find teen drama annoying…while watching a teen drama show (in other words, it’s not the show, it’s me). The fourth episode, “Vox In Excelso,” has been my favorite so far, and it’s squarely in the field of great Trek stories.

teen drama

Can you expand what you mean by this? I have heard this criticism before but nobody has been able to provide me an example from the show of what they mean.

Just so we’re on the same page, I haven’t seen a single example of drama that I would consider functionally different in form or quantity than any other Star Trek show. There is drama yes, and there are also teenagers. But in my opinion every “teenager” on SFA is far less “dramatic” than (for example) Wesley or Jake and I cannot recall anyone criticizing TNG or DS9 for being a “teen drama”.

Jake was pretty level. His big dramatic moments were based around the horrors of wartime journalism, and how to support his friend who receded into fantasy after losing a limb in the war.

Starfleet Academy has an episode based around a prank war between school cohorts, and one of the main plot threads in the first season boils down to “omg does she like me” (so… essentially the same as every Julian episode).
On the other hand, it’s got the most relatable captain (technically chancellor) to date, and possibly the strongest recurring villain ever (somehow in a character played by Paul Giamatti).

In short, I agree with you, the fact that the drama is perpetuated by teenagers doesn’t detract from the Trek-ness of the show at all.