No. Miners mine a coin because other people are willing to buy those coins from them. The market, the buyers determine the value. Supply and demand, it's economy!
Just plot the difficulty of any POW coin vs. its price. You will notice how when price climbs so does difficulty a few days later, because miners add hashrate. And when price drops so does difficulty with some short delay, because some miners stop mining it.

Have you ever heard a buyer on an exchange saying "oh, I will buy coin x because its network has 500TH/s of hashrate"? Of course not. And that's why "price follows hashrate" must be some kind of bad joke. I mean we would just have to add hashrate and the price of Masari would magically go up? And who pays that price and for which reason?

"Price follows hashrate" is the same misbelieve than "more miners means lower price", when people argue that when more people are mining, more coins get dumped so price drops. Of course not, since total amount of coins given to miners on every day is constant no matter how many miners and how much hashrate is thrown at the coin. Again, a fundamental concept of a POW coin called difficulty adjustment, or let's call it coin issuance control.

I hope this helps.