Apple has solved so many difficult technical problems, I do not understand why it cannot write to NTFS.
It looks like a marketing decision: MACs can read from NTFS but cannot write. In other words: bring (read NTFS) your data to MAC but MAC will not give data back.
Microsoft has solved so many difficult technical problems, I do not understand why it cannot write to HFS+.
It looks like a marketing decision: PCs can't even read from HFS+ much less write to it. In other words: if you use a Mac, go soak your head.
See how easy that is to turn around?
Both NTFS and Apple's HFS are proprietary. Neither licenses their drive format to anyone. Those solutions that exist were figured out on their own by the companies who make them. Such as Paragon's apps to write NTFS from a Mac, or their sister product that allows Windows users to read from and write to a Mac drive. In other words, neither is 100% compatible with either architecture. What they offer works, but not necessarily perfectly.