The volatility of Bitcoin has led to the shift in engagement because the price of Bitcoin can sometimes determine engagement. Like the economic variables; demand and supply. An increase or decrease in price, can lead to n increase or decrease in demand, conversely an increase or decrease in price can also lead to an increase or decrease in supply. From the aformentioned, one can say, the demand and supply can influence the price of Bitcoin. Can more adoption and engagement influence the price of Bitcoin as st a particular date?
I think you are mixing things up a little because it is actually demand and supply that determines the price of Bitcoin and not the other way round. If there are more buyers in the market which is demand, the price will rise signaling that they are willing to pay high prices to get their orders filled. On the contrary, if there are more sellers in the market which is excess supply, then price will drop meaning that they are responding to the surplus supply. More adoption of Bitcoin will mean more demand for Bitcoin and that will make price to rise.