Not quite, the vaccine is only part of it. The Milwaukee Protocol involves putting the patient into a coma and dropping their body temp so low that the virus can't spread (should note that low core temps are why marsupials like opossums are damn near immune) because once symptoms are showing it's actively turning your brain to mush. Between the virus already being present and the coma, brain damage is basically guaranteed despite survival.
Iirc only 29 people recorded as surviving. We should note that rabies has a written record going back to the start of writing. 29, in 4 millennia.
Rabies is scary as fuck y'all. You can get this shit from getting an organ transplant from someone who never knew they were infected after being bitten by a bat while camping last year.
https://youtu.be/kxBIJvNHZg4?si=2MjzGA2caKFIcBcM here's a video that's pretty disturbing if you're wanting to see what dying of rabies looks like. Spoilers, it's awful.