It's a blessing and a curse. Nobody has tried to reimagine the E-D for the small or big screen, even though the E-D has been faithfully redone on both, and no doubt will be again. OTOH, if somebody reimagined the Discovery, or the Cabot, or the Phoenix, few eyebrows would lift. But the 60s design sits between those two takes: it gets both the attention and the veneration, sometimes at the same time, sometimes with one triumphing over the other.
It's just that until now, neither the attention nor the veneration has resulted in any reimagining: when the ship was given a new look in TMP and the 2009 film, it was extremely explicit that the original had not been erased from history. Instead, the whole point in both was that the original had been the history, and things were now different, in two different ways in the two different flicks.
So we have no good precedent for what might happen. Batman, say, has never been about telling stories in a setting: it's about telling the same story over and over again, in slightly different settings. But Trek always tries hard to pretend that things are moving forward, that the past is there in the annals and now something new is happening to the same guys or their successors. It's just that the annals on the 1960s starship are already chock full of footnotes and we might now be getting a few loose pages as well...
Timo Saloniemi