Well for me, Spectrum is the father of Amiga. Same spirit.
I don't see your point. The Atari 800XL is in fact the real father of the Amiga, and technically beseen, the C64 has also the custom chipset concept implemented. The ZX spectrum line does not in any way. That's why you hear those bleeps when loading a program from a cassette. Also think of the color 'leaking'.
Maybe the processor of the ZX spectrum is more powerful than that of the C64, but it also NEEDS to be more powerful.
Very PC like indeed (apart from the fact that the Z80 is a fork of the x86 architecture)