Depends on the game. Not sure about that game, but most games have 2 options: Download play, and regular wifi play. Download play means that the DS with the card (Yours) sends a small file to other DS's, which they receive via the main menu under 'DS Download Play'
Usually, the game doesn't include as many levels(Mario Kart for example only has 3 levels compared to like 15 in the full ver), or has some features removed. As soon as you turn off the DS that was sent the file, it loses it unless you re-download it.
With Poker, I could only assume it'd keep all the features of the regular poker due to poker being inherently simple.
If it supports download play, however, is something I don't really know.