Nope. The throw-ball-to-catch-creature, in the specific way it was defined by the patent, already existed in Craftopia (also made by Pocketpair) well before the patent

And even if SMT demons aren't the same as monsters, I recall DQ5 literally having captured monsters. That's '92.

Creature capturing, battling, and riding weren't directly under contention and are still in the game. The major features that got removed due to the lawsuit were being able to aim where you summon Pals (which Nintendo alleged violated a patent related to using a combination of a control stick and a button to summon a support character) and being able to see some Pals as gliders (which Nintendo alleged violated a patent related to automatically switching mounts or something). I'm sure there was a third patent I'm currently forgetting about, but whatever it was it doesn't seem to cover anything that's still in the game, because Nintendo amended their claim to only cover the time before the changes got made.

Nintendo would dearly love to be able to patent monster battling, etc. but all they've actually managed so far is to chip away at minor features.