La Niña can be such a mixed bag. You have years like 2011 (obviously an extreme example but the general idea of being dangerous in Dixie holds), which wasn't great in the Plains/Midwest in May/June apart from that late-May series which included Joplin, 2012 which aside from a couple early outbreaks was obliterated by drought, and 2008 which was IMO one of the best all-around severe seasons in my memory, although I could have done without so much flooding. Activity commenced with that early January N IL/SE WI outbreak, Super Tuesday in Dixie, and continued right on through peak with about a 3-week stretch of nonstop action from late May through mid-June.
...and ya, 2020 sucked for interesting weather unless you're a hurricane chaser. Even the Cristobal remnants were a downer here, just wasted an early June day on drizzly, blustery conditions more suited to early spring or fall.