Does being "independently funded" really mean Florida law doesn’t apply to what was my insurance?

I hope this is the right place to post this. I recently turned 26. I'm autistic and have other health issues that have made getting a job seemingly impossible (I've applied to so many but no where has given me a chance) so I'm still dependent on my dad. I'd read http://www.leg.state.fl.us/statutes/index.cfm?App_mode=Display_Statute&Search_String=&URL=0600-0699/0627/Sections/0627.6562.html and based on my understanding thought I could stay on his insurance until the end of the year I turn 30. Everything I can find, including the COBRA paperwork I recently received refers to it as a "group plan". They provided no prior warning that my health insurance would go away after my birthday. When my dad first talked to HR it sounded like it was a mistake and I'd get my insurance back but he's now been told that because they're "independently funded" that law doesn't apply and they'll only put me back on his insurance if a doctor fills out something saying I can't work because of my disabilities. Is this even legal? How does being independently funded exempt them? I'm confused and overwhelmed.

submitted by /u/StressedConfusedIDK
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See also  Switching employers and switching insurance providers