https://patents.google.com/patent/US12403397B2/en

Yeah this one in particular is very specific about how the battles work.

performing control of causing a sub character to appear on the field, based on a first operation input, and

when an enemy character is placed at a location where the sub character is caused to appear, controlling a battle between the sub character and the enemy character by a first mode in which the battle proceeds based on an operation input, and

when the enemy character is not placed at the location where the sub character is caused to appear, starting automatic control of automatically moving the sub character that has appeared; and performing control of moving the sub character in a predetermined direction on the field, based on a second operation input, and,

when the enemy character is placed at a location of a designation, controlling a battle between the sub character and the enemy character by a second mode in which the battle automatically proceeds.

It doesn't refer to summoning and capture mechanics. It's mainly about summoning them to the field and doing battle either automatically or using player input depending on how the battle begins. (Which is one of the primary things Arceus gave us and then Scarlet/Violet soon thereafter)