Dear R2D2_WD and Everybody,
I got an other firmware for the external enclosure's ASM1153E chip, and now booth of my WD RED NAS 3TB and my HGST NAS 5TB can be readable inside the enclosure - tested under Win7 and Win10 64bit - which was initialized and formatted outside of the enclosure, under Win10, to GPT / NTFS 2.2TB+
As I informed, this ASM1153E chip firmware (ver: 140509_A1_82_80) what I got from the enclosure's Tech Support: " ... it removed the 4K sector size compatibility part in chipset. So you have no problems when the HDDs are formatted outside the case."
(The enclosure's ASM1153E chip's factory firmware was newer as I know, but in this case it was not relevant. I had initialized and formatted the HDD outside the enclosure and I did not want to loose any data, so this was the solution for me.)
So my problem is solved!
Thank You all!