Having never played an Ace Attorney game but watching about 5-10 minutes of random gameplay, yeah, that seems to be an apt comparison. You get your case, speak with your client to get their side of the story, then spend the next few days visiting the crime scene, digging up evidence, interviewing witnesses, following up on leads, etc. You have a set number of days to do all this and not enough time to visit every location on your map, so you're unlikely to get the full story and will have to do your best with what you have. Fortunately the game is very lenient and allows you to replay the case from previous days as often as you like. Once the trial hits, you're mostly cross-examining the prosecution's witnesses and trying to find holes in their story that might sway the jury in your favor.
I've finished the first two of four cases and am really enjoying it. It's well-written, I'm liking the hand-drawn art style, and the story has me hooked so far.
Thank you for providing your experience with the game. I think I'm interested in Aviary Attorney. But, one of my New Year's resolutions was to play more while the one of the others was to only buy games that I would actually play. I'm proud to say that I've been sticking to those notions for the most part, but it's only March. So, at this point, I don't know if I'm going to buy Aviary Attorney as part of the Humble Monthly or if I'll get it later.