Now for the vast majority of users, this does not matter at all. As much as I like to think I can tell, it's probably placebo or the slightest feeling like something is not right. But I think it's a worthwhile reason to have a different method of replicating these old and eventually dying machines, and it's much more intellectually interesting as you say.
If a device has the same input and output signal timing as the original hardware, then the implementation - be it custom silicon, FPGA, or software - is largely irrelevant to its functionality.
Regarding parallelism, it doesn't really matter as long as the output signals settle in time to meet the clock boundary.
I agree completely regarding the difficulty of getting input and display timing to work properly in a software emulator, especially running on a PC with a modern OS.