We know that globally, almost everyone still thinks in fiat. They measure value of things by USD mostly and not yet in bitcoin.
Yes and no. Fiat value isn't that important for people than purchasing power. Let's say someone gets their salary in BTC. They'll ask things like: Can I pay my rent with less than half of the salary? Can I eat until the end of the month with the remaining BTC? Bitcoin definitely fluctuates too much in comparison to goods to be an unit of account.
Willy Woo believes that stablecoins are the way to make bitcoin a unit of account. It allows people to practice transactions on chain while still letting themselves be comfortable with the use of fiat.
I agree with the argument that "practice" with on-chain assets like stablecoins isn't bad. But I don't believe in an automatism, that Bitcoin then will also "naturally" become an unit of account. Stablecoin handling is too similar to e-money like Paypal, and e-money is already around since the 90s.
My impression is that the evolution towards an unit of account could be come more from things like Bitcoin donations. People can start to donate 0.001 or 0.0001 BTC to a charity of their choice, and then slowly become accustomed to these amounts. Also Lightning could help: if you open a channel for a certain amount of Bitcoins, you get a feeling how much you can pay with your channel capacity.
Merchants could also help, for example creating promotional campaigns with things they sell for round Bitcoin amounts.
BTW, signature campaigns in this forum were in the past one of the few activities where BTC worked as the unit of account. This has not been very popular recently, even if Bitcoin's volatility isn't as high as before.
My question for you would be, is it really necessary for bitcoin to be a unit of account?
It is IMO not strictly necessary, because Bitcoin can also continue to live as a more niche speculative asset. But to evolve towards a more serious one, I think it could be helpful once the volatility approaches the value of gold (currently, Bitcoin's volatility is 1,5-3x higher).