A change in "look", no matter how thorough, is no sign of a discontinuity in Star Trek, by the standards of Star Trek.
True. Additionally, this is sci-fi, where changes in the design or surface details of a ship within a short amount of time are not a sign of continuity problems or reimagining the entire series. It was no more reimagining (because it was not) than the very 80's-design sensibilities of the panels/controls of 2010
were because of its obvious differences to the technology seen aboard Discovery
from 2001: A Space Odyssey
, the Leonov
had be under construction in the same era as Discovery
, but the tech of the former screams an advancement of decades (as in the real world passage of time), but we accept it, because in sci-fi, the impossible is possible.