Yup, the more massive a star the short it lives. The Sun for example will live around 10 billion years, whereas a star 10 times the mass of the Sun will only live for 30 or so million years.
Using some hand-wavy arguments you could say that fusion pauses a star's collapse, so the more massive a star is, the more energy generation it needs to stay in equilibrium during this pause.
There's a negative feedback loop there. That is, a star of a certain mass needs a certain amount of energy production in order to keep it from collapsing, and that amount of energy production is automatically achieved, because if it were too low then the star would collapse a bit, and increase it.
Therefore, the rate of energy production isn't a consequence of the temperature. The rate of energy production is regulated, so effectively the temperature is a consequence of the required energy production instead.
Using some hand-wavy arguments you could say that fusion pauses a star's collapse, so the more massive a star is, the more energy generation it needs to stay in equilibrium during this pause.