Note that occasionally, the YUL flight arrives at the D gates (new pier of the main terminal complex) and not the infield E gates. In this case, it's even easier to get to the LX lounge as no train ride is required. Just follow "A gates" signs.
And in case there is not enough time to go downtown (IRROPS do happen), Sprüngli also has numerous outlets at the airport so no excuse not to bring you Luxemburgerli.