It makes sense that the league would want all eyes on the finals. After all, it is the biggest series of the season. A champion is awarded and for one franchise history is made. No one would want a blockbuster trade to happen on the same day the cup is awarded, that would distract from the celebrations. Apparently this is only technically a suggestion, as the league reportedly cannot enforce it. However, the league still has to approve all trades before they are completed, so perhaps they do have some power in this situation.
Somewhat ironically, the Toronto Maple Leafs did make a reasonably big announcement today as this rumor just came out. The team revealed that assistant coach Guy Boucher will not be returning to the club next season. As such, they have another opening on their coaching staff to fill.
It would certainly be something if we saw Mitch Marner traded just a day or two after the finals are completed. But what might be even more interesting is to see what other, unexpected trades could be waiting for us this summer.