The battle system is too rudimentary to capture the essence of gacha. Insofar as gacha lends itself to gameplay mechanics and not just monetization, deck/teambuilding is absolutely integral. Obviously, the game is a parody, but even as a parody I think it does a poor job of capturing that aspect of building and experimenting with your deck/team. Which is fine, not a criticism of a silly little app, but the person I was responding to asked if this is what real gacha games play like and why people play them and I do not believe this is sufficiently representative.
In fact, I would describe this as an idle game, not a gacha game. In other words, a gacha-themed Cookie Clicker reskin. The emphasis is on the gacha, but in a real gacha game, rolling gacha occupies <1% of the playtime, and this doesn't adequately capture how the gacha model intersects with real gameplay mechanics.