Yes.. there are some projects who are always doing coins burning in order to decrease the supply, and this increases the price of each one of the tokens that are already on the market.
No, those who can print as much as they can are just BS.
Bitcoin is based on an increased demand an a deflationary supply, however that eventually leads to a coin that people don´t use to trade or to transact. What do you think that the emission rate of a crypto should be to be used as a coin? Any automatic mechanism to adapt exists?