I doubt the F417 and F437 are same die. Some peripherals are renewed and there is some time between releases.
They can turn off peripherals, memory, etc. to make them functionally different. But if it's really the same die, they can't really change its [scaling] power consumption (e.g. uA/MHz for same peripheral or some static power). If you compare those they look to be different chips, where the F417 seems to consume a bit more peripheral power. The FSMC and FMC controllers are also very different. Also stop, standby currents etc. seem to be about 10% better on F43x.
The F43x supports SDRAM, which was quite a hype the STM32F4 line. There is about 24 months between these devices.
Obviously they are not going to make different dies for the different memory, packages and 'the options list' (peripherals, e.g. F405 vs F407, or F42x vs F43x), as these devices share the same datasheet. But in this case I don't think these chips (F417 and F437) share the same die.
But maybe others do.