240 is not evenly divisible by 144. Curious to know if 240 vs 120 Hz is more or less noticeable on a 240 Hz monitor than 240 vs 144 Hz on a 240 Hz monitor.
With games as long as you have good enough hardware to run the game at a steady frame rate you want it being divisible by some magic number does not matter. Also the old "standard" Hz for games is 60hz so going to 120 and then to 240 is the "natural" steps.
The old 144hz goal was/is nice if you want to display 24fps (movies) content but games don't work like that. They display correctly without any judder/pulldown at whatever frame rate you want (as long as you have the hardware to run it at that rate)
The old 144hz goal was/is nice if you want to display 24fps (movies) content but games don't work like that. They display correctly without any judder/pulldown at whatever frame rate you want (as long as you have the hardware to run it at that rate)