This game absolutely needs to have Digimon Abilities named. This allows them to be searched for as well as proper team planning. Below are just a few examples.
"Adds a small delay to enemy attacks" should be called something like "Small Delay".
"Adds a delay to enemy attacks" could be called "Medium Delay".
"Adds a large delay to enemy attacks could be called "Large Delay".
"Only Blue Cards will appear next" could be called "Knight Rush".
"Only Red Cards will appear next" could be called "Dragon Rush".
"Deal a large amount of damage and heal for the same amount" could be called "Heavy Vampric Blow".
You get the idea.
This would allow players to not only search Digimon by ability and to plan their teams accordingly, but it also adds a layer of professionalism to the game. I love this game, but a lack of basic framework on subjects such as these has made me hesitant to make any real purchases.
In the future, we could even have Digimon with unique or rare abilities such as "Revival" which would restore a small amount of health if you take fatal damage next turn, or "Chain Attacks" which would cause the particular Digimon to deal 50% more damage in the form of an extra attack the following turn.