I typically try to stay away from these questions since I make the bachi you found at theloud.house and 1) I don’t want to be as the pushy salesman type, and 2) I am obviously biased. But since you asked directly about the difference between acetal and acrylic and - as far as I know - I am the only one that uses acetal in a production bachi, I will try to answer the question with as little bias as possible.
I don’t have a great way to describe this, but I think acrylic sounds “clicky” (I’ve also heard it described as “glassy”) on the strings. This sound is not present when playing with a real bekkou bachi. It creates an extra dynamic in the overall sound from the instrument that I personally find distracting.
Maybe this will work as a comparison: Tap on a piece of glass with your fingernail, then tap on a piece of cardboard with your fingernail. Note that the glass reflects almost all of the sound, while the cardboard absorbs it. That’s the difference between acrylic and acetal. Acrylic reflects while acetal absorbs. That’s the best way I know to describe it.
@ShamiKappa makes some great points, though, and I fully admit these as flaws with acetal. To keep it stiff enough, it needs to be a little thicker than I would like. I’ve been working on ways to taper the blade at the tip, but I haven’t come up with a stable, repeatable process yet. I have never found it limiting, but I can see how a more advanced player might.