From what I have heard, there is one interesting perk that the Caps organization has gained by happening to win the Cup in this particular year.
The main body of the Stanley Cup has 5 rings, each with the names of winning organization members engraved on it over a period of 12 (or 13?) years. When a ring is full, all the rings are moved up, the top ring is removed from the Cup and sent to the Hall of Fame, and a fresh ring is added at the bottom to receive names of Cup winners for the next set of years. Apparently 2018 is a year when this transition occurs, so the Caps will be the first team engraved on the new bottom layer. This means that the Caps inscriptions will remain on the Cup for the maximum number of years, throughout 5 complete cycles. The latest Penguins inscriptions, entered 1 and 2 years ago, will eventually be removed 12 (or 13?) years before the Caps inscriptions.