Earlier quoted context omitted.
Could you specify the main ways it isn't? I have limited experience in both but I haven't seen much that suggests otherwise
Many features of C do not directly correspond with most modern assembly languages. You cannot predict the exact assembly it will generate without knowing a lot of details about your compiler and platform, and even then it's often iffy. It seems like a bit of a leap to call something "a minimal abstraction" if you can't even correctly describe how an operation in the abstraction corresponds to operations in the lower…
Assembly languages actually haven't changed all that much since the 70's, but compilers have improved a lot. The output of early C compilers did indeed match the source code quite closely (and not just on the PDP-11), but even today that's true if you disable optimizations (and even with optimizations is usually pretty straightforward to map the C source to the assembly listing - if you're somewhat aware what optimizer passes in modern compilers are doing).
Of course CPU ISAs are already human-friendly abstractions over what's actually happening down in the hardware.