As a Floridian, I can tell you the weather worries out of town guests much more than it does us. (I know, because my family in NC call me panicking over our weather all the time.

) I wouldn't let a tornado warning stop me from going about my daily life much less a watch. Weather personalities know how to hype a storm to get viewers. If we panicked every time we had a weather warning, we'd live in the closet.

Yes, you may get soaked, but I doubt you're going to get blown away.

Lightning can be very dangerous, but we haven't had any severe lightning today. We live an hour south of WDW, but the weather looks similar today. It's just getting there, after it hits here.
On a side note, if they're willing to waive the fee for those who don't want to get wet, requiring a CC hold is pretty much a waste of time in FL. That little loophole could undo any progress requiring a CC hold has made, especially in the summer.