Not sure what's confusing about the web site. The state data for FL does say that some states choose not to honor the FL permit unless it's a resident one.
Here's the official FL web site if you need more info:
http://licgweb.doacs.state.fl.us/news/concealed_carry.html
Here's the official FL web site if you need more info:
http://licgweb.doacs.state.fl.us/news/concealed_carry.html