I visited the Cathedral on a Friday just after 13.00h, it was probably still open after the noon mass, as the lady was closing up. I walked by also on Saturday and Sunday but everything seemed closed (and almost everything in Georgetown is closed on Sunday).
The renovations are finished and the whiteness on the outside is dazzling, except for the steeple. Perhaps they overdid things at the start and ran out of paint.
I walked around for several hours outside in Georgetown taking pictures with my old phone and did not feel unsafe at all, so it seems things have changed for the better.
As a whole I do think the old center of Georgetown has a potential to get inscribed, especially if they keep improving and renovating the public spaces.