I checked the box about overwriting customizer settings. Then backup options, something does download at that point, is that what you are talking about?
After that, I select import options again and I get the three green checkmarks saying my site is good to go.
I see the wordsmith theme, but it does NOT look like the demo. I see no photos or even the subscribe box.
Maybe you have a server level cache ? Can you check with your hosting – any server caches, CDNs or other other server level optimizers such as Redis will cause issues when importing a site.