Sorry, I don't know your name, but you're completely wrong regarding analogue vs digital video systems. Synchronisation pulses *are* needed for digital displays, they just don't work otherwise. It's unrelated to CRT, completely. DVI-D (and HDMI, which is essentially the same) were never analogue interfaces. They encode pixel data into TMDS which is much better to transfer data on high speeds than plain TTL, and also it requires less wires because of multiplexing which is, in turn, possible because of higher transfer rates. I think you'd better read some literature on this specific topic.
Re: EDID's and TV resolutions
DVI-D (and HDMI, which is essentially the same) were never analogue interfaces. They encode pixel data into TMDS which is much better to transfer data on high speeds than plain TTL, and also it requires less wires because of multiplexing which is, in turn, possible because of higher transfer rates.
I think you'd better read some literature on this specific topic.