What a camera needs to record in 4k over non-4k:
- 4k/12MPx sensor
- Fast CPU(s)
- Large enough RAM
- Fast enough SD Card Controller
- Good enough cooling
Both Pro and Advanced use 12MPx sensor (even if manufacturer is different).
Both use Ambarella A9 chip to process video, so (assuming it's the same exact model) CPU power is the same, and SD Card controller is likely part of A9 SoC - same too.
But there may be differences in RAM amount, and there are differences in cooling.
It is possible to enable 4k in the Ambarella Firmware, using Phantom Firmware Tools to extract it and then pack it back to one bin file. But I'm not sure if the video would work completely as intended.