No, it damn doesn't enough to be a LAN team.
C9 also were winning some matches on majors, while getting eliminated on group stage 8 times in a row. But they were one of the biggest onliners, especially in 2015-16.
BIG also took top2 on ESL One Cologne and top8 on FACEIT Major, but they're one of the biggest onliners ever.
So no, this is not damn enough to be LAN team.