That's basically correct. The 8008 was a single-chip version of the TTL processor in the Datapoint 2200 desktop computer / terminal. It is entirely unrelated to the 4004 except that many of the same Intel people worked on it. In other words, the view that the 4004 led to the 8008 is entirely fictional.
The Intel 8080 (used in the early Altair computer) was a slightly cleaned up version of the 8008, and the 8085 was a 5-volt version of the 8080. Intel's next processor was supposed to be the super-advanced 8800 with hardware support for objects and garbage collection. That chip fell behind schedule, so Intel threw together the 8086 as a stop-gap chip, a 16-bit processor somewhat compatible with the 8080. The 8800 was eventually released as the iAPX 432, which was a commercial failure but is definitely worth a look for its bizarre architecture -- a vision of what could have been.
The Intel 8080 (used in the early Altair computer) was a slightly cleaned up version of the 8008, and the 8085 was a 5-volt version of the 8080. Intel's next processor was supposed to be the super-advanced 8800 with hardware support for objects and garbage collection. That chip fell behind schedule, so Intel threw together the 8086 as a stop-gap chip, a 16-bit processor somewhat compatible with the 8080. The 8800 was eventually released as the iAPX 432, which was a commercial failure but is definitely worth a look for its bizarre architecture -- a vision of what could have been.
I've written a detailed history of early microprocessors here: https://spectrum.ieee.org/tech-history/silicon-revolution/th...