The price of bitcoin matters to some extent. When the price is high, the total value of bitcoin is also high. So it is difficult for somebody to manipulate the price easily.
most people need some kind of anchor to set themselves to. So they use examples as to 3goats=1cow and so on. Same goes to bitcoin and value is created by consensus demand. But in my opinion, the price of a single bitcoin does not matter since the technology is priceless.