I don't really understand SAFe, but from the outside looking in, it seems like the answer to "How close can we get to agile while still employing an army of Project Managers?" Which is to say, not very.
This is why most companies will abandon SAFe after a couple of years, like the case studies show. I have personally left one employer (a bank) because SAFe made the job unbearable.
Both this company and their larger competitor abandoned SAFe after a couple of years. I now categorically ignore any gigs and openings at companies using SAFe - it's a glowing red flag to me.