In Florida, the title of deputy sheriff is bestowed by the Sheriff. LEO status requires that they be state certified or to be hired as a trainee and required to complete the CJSTC standards within 180 days of appointment. They are not making them LEO's. The Sheriff of Polk County cannot grant them the ability to be exempt from state law. What he is doing is giving them "status" as someone with special authority within Polk County, specifically the campus of Southeastern University, to carry arms on his behalf , under the limited exceptions as spelled out in the law. Their "special deputization" doesn't fly outside of Polk County, and the oath they sign will inform them of that unless their legal counsel is insane. I suspect that they will all have to have concealed weapons permits, and the reason behind the "special deputization" is so that they can still enforce Florida statutes regarding carrying a concealed weapon on a college campus against anyone who is not a "special deputy".
As a matter of background, I am a reserve deputy sheriff a couple of counties away. I am also a lawyer who previously served as the general counsel to my sheriff's office. My day job is representing governments and governmental officials in federal courts against people who claim their rights have been violated under the U.S. Constitution.