This may or may not have meaning, and someone knowing details will have to answer:
[ 188.0579 ] Warning: EKS partition magic header mismatch!
[ 188.0940 ] Writing partition EKS with eks.img
Other than this I saw nothing wrong with the flash. It is quite possible the warning has no real meaning in these circumstances (which is why it might be labelled as a “warning” and not “error”).
Regarding which carrier board it is flashed from: This won’t matter during the flash, so long as the right content is flashed for the carrier board which the module will run on. There is unlikely any specific reason you would need to use another carrier board for flash.
The real problem is usually related to flashed content relative to the specific carrier board being used. You would have needed to have used the third party board support package, and you would need to verify that this carrier board works with the eMMC model (it probably does, but it is worth checking), plus verify that your specific release version used from NVIDIA and the carrier board manufacturer release version are compatible. Since the flash process itself seems to be valid this is the first thing anyone else will ask.
If flash was with compatible versions from NVIDIA and the carrier board, then a serial console boot log would be needed. Unlike the screenshot, serial console works earlier on in boot when the monitor can’t see anything, and also is searchable. Even up until some fatal error the serial console will be able to log boot when the monitor is long dead. Serial console information can be found here: