Well, what is wrong with putting on hold, or interrupting, one’s wedding plans when a crisis arises?
You seemed to think that there was something wrong with doing that over ‘a dog’, and also seemed to assume that the dog was all that was ‘holding them together’. Quite an assumption, when you know nothing about these people except that they love and value their dog.
You seem to be conflating a simple human-interest story with issues that obviously concern you, but which are likely entirely unconnected to this case.
If a lost dog is enough of a crisis to put something as big as a wedding on hold, they have emotional issues, and if and when they get the dog back, some day it’s going to die on them.
Then what if they can’t handle simply losing it?