Right, a local would have more information about the local geography, the types of threats possible, and the good local sources of information that they wouldn't need to rely on a weather radio (though I definitely have one around the house that I bring with us if there is a need to take shelter). At least in Oklahoma, most people have a pretty good feel as to the typical tracks of strong storms, enough to know that if they hear, e.g. Bridge Creek is being affected by a dangerous storm, the next place it is likely to end up is Newcastle, then Moore, then southside Oklahoma City. An out-of-towner doesn't have that experience.
Likewise, a local is able to simply plan their day around the storms—"weather's supposed to be bad tonight, so I'm gonna go straight home instead of going to the store; I can do that tomorrow". A traveler doesn't really have the option to do that, since they are following an itinerary and, when storms hit, may find themselves in an area that has no place to stop for the night (especially in a region without many large towns, such as the US-160 corridor through southwest Kansas).