I think it boils down to initial economics. There is money (big assumption on my part, but I would not doubt it is there) to bring back something like a mammoth. People want to see something big and charismatic that no one has ever seen before.
It is kind of analogous to the NASA missions to the Moon. Did we need to do them, no. Should we have done them? Abso-freakin-lutely! The technology that humankind gained from pushing science to its limits is immeasurable.
If we are able to clone a long extinct animal like a Mammoth, think of the ramifications it will have for current critically endangered species. The technology to clone animals like the Northern White Rhino or the Thylocine or the Bluebuck will come down in price and we can begin to rectify the mistakes that were made.
We are humans, it is our destiny to figure out how the world works.