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?
More adoption in what way? If some small stores accept Bitcoin payments, that won't to much at first but if everyone copies that strategy, then there will be a change. But from my understanding, there are a few, exceptional adoptions that really influence the price and an example of that is Bitcoin spot etf approval. Also, if companies like Amazon and eBay accept Bitcoin, this will hugely benefit the currency but mostly, giving people easy access to purchase Bitcoin is the thing that really boosts its price, especially when this action is promoted.