>>37148860From the inside, Team Rocket is played up mostly the way they were in the originals, if a tad more yakuza-y. At least when you first join, you operate as part of a small group of your peers lead by a superior. For at least half the game, you’ve got people under you and people above you.
Being a gangster, you can coerce civilians- you obviously have to beat Pokémon Trainers to do this- into letting you take their Pokémon and possibly other stuff. In typical yakuza fashion, you’ve got a civilian guise you can take on so you won’t be spooking people 24/7, though Poké Balls are considerably more limited than they are in the “real” games. Catching Pokémon is possible, but you don’t snag them during battle. It is thus encouraged to steal trainers’ Pokémon; a “goody-goody” run without doing so is difficult but possible.
The story is more or less driven by a chain of assignments you’re given as you climb Team Rocket. Being the boss’s son, Silver plays into the story at some point, definitely later on; by the end, he’s run away from Team Rocket, setting him up for the Johto games.
TL;DR: Vento Aureo with Pokémon.
I spent an afternoon using Twine to make an HTML interactive fiction intro to this 