If i understood correctly, you have following requirement:
1. Quick matches on real-time
Ans: You can use AppWarp's turn-based feature to implement it, where a user can join a room to play the match and finish.
2. Bigger matches where users nay not be connected at same time
Ans: It can be implemented using Storage and Push Notification services of App42 Cloud API. With this you can write your own logic over our Storage service to save game data, users info, match info in a json doc. Whenever a user plays his turn, you can update the doc in the storage and notify the other users in the match using Push Notification. When the other users receives the notification you can refersh the game. We have already made a game Words Junkie with the same concept, you can also have a look at its game play video. With this concept, the users will be able to play multiple bigger matches simultaneously.
P.S: The AppWarp is designed to work on real time scenario. Hence, it considers that at a time a user can only be in one room at a time. As of now, it is not possible to play multiple matches simultaneously with AppWarp.
Please let me know if you have any further queries, I will be happy to help you.