Intel improved the 8008 to create the 8080 processor, which was popular in embedded systems. The first generation of home computers (Altair, IMSAI) used the 8080. Because of backward compatibility, the 8080 still had the Datapoint instructions and features.
The 8086 was a big improvement over the 8080, a 16-bit processor instead of 8. The 8086's registers names originally matched the Datapoint ones: A, B, C, D, E, H, L as shown in this 8086 patent diagram. But these were renamed AX, BX, CX, and DX just before release.