WLAX has played at the Soccer Stadium before.
It's not big enough for a typical MLAX crowd.
The soccer field seats 1500. There is a hill behind the south goal that can sit another couple of hundred more (it is a spot where students often sit).
As Syracuse has emerged as a national power in men's soccer, the crowds have grown and there have been a number of sellouts. There is a need for more seating. I know the athletic department was looking to add stands to the eastern side of the stadium, which could add another 1500 seats, back when Coyle was here. I think that expansion is going to happen regardless of what happens with the Dome. In addition, they could always add more stands to the western side, where the only permanent seating is now.
Or they could look at Coyne Field, which the university says seats 2700. Temporary bleachers could be moved in there to get the capacity up over 5000 and the big hill to the north could hold a lot more people as well.
That would probably be a better way to go, since the lacrosse field normally plays on turf.
Men's lacrosse averaged 4,386 in 2017, 4,013 in 2016, 4,802 in 2015, 4,140 in 2014 and 3,859 in 2014. There is little revenue to be lost moving them for a season or two. Playing at another venue might even give the team more of a home field advantage.