Your run of the mill chasers doing it for the thrill of it-yes. Chasers that are going in for research purposes to further the science of meteorology, no.
How to tell the difference? Have the local authorities permit of deny access to their locale. Ex: like a passport or needing a permit. It can be accepted or rejected based on credentials and abilities. I don't see where that infringes on your constitutional rights. When an area is placed under an evacuation order, it's just that temporary.
tramadoc-----Thank you for your service!