Ok, fair; it's 99% fatal if you get treatment; it's 100% if you don't. Your odds of survival plummet as soon as you start showing symptoms - all it takes is an innocuous scratch, and it can live for months before attacking the nervous system, meaning the incident and scratch that caused it may have already been forgotten by the time you go to the hospital - by then, it's almost certainly too late, and your death is nearly guaranteed.

Do you consider Kurtzgesagt a reasonably reliable source?

How about the CDC? 60,000 people are treated every year. 10 Americans die from it every year, and 70,000 worldwide. Of Americans who die from rabies, 70% contracted rabies from bats; for the rest of the world, 95% got it from their dogs, who contracted it from some unknown animal.

Unless you live in Antarctica, rabies is where you live. It's even in the UK now - they held it off through strict animal quarantines until a decade or so ago. It's fairly rare in western Europe; the most recent death in the UK was 2018, France Spain, and Italy had deaths in 2019.

I'm not arguing that it's common, I'm saying that it's nearly always fatal once symptoms develop and it's a horrible, horrible death. Pascal's Wager applies here. At the very least, if you get a wound from an animal, you can look forward to getting painful preventative vaccines, because you don't know if you got rabies or not, and if you ignore it and you did contract it, you will die. Horribly.

The best option is to not handle wild animals and if you have pets, don't let them run around outside unsupervised.