I think bitcoin is a safe heaven but most people don't realize it. By safe heaven, the assets shouldn't lose their value in uncertain conditions and should be free from inflation. While BTC has zero inflation but right now the bitcoin prices aren't stable and are usually highly influenced by geopolitical situations and also the war situation that is developing across the Middle East region. However, I think this is just a temporary pressure on the bitcoin price and intelligent investors will use this as an opportunity to get bitcoin cheaply.
A safe haven asset is one that not only increases in value over time, but it also needs to be stable and not be dumped during economic turmoil. Meanwhile, the value of bitcoin increases over time but it is too volatile, especially in an unstable economy. How can bitcoin be called a safe haven when people need a safe place for their assets to not lose value but it is being dumped?
Inflation hedge, store of value and safe haven are three completely different concepts. Many people seem to lump them together and think they are one but no, they are different. Bitcoin is an inflation hedge, a store of value because it appreciates in the long term, but it is not a safe haven because it is too volatile in the short term.
It's not that the world doesn't realize it, it's that many bitcoin investors don't understand the concept of safe haven.