I found the source of the problem -- me!
Not wanting to wait for the IP to propagate, during server setup I had changed my local hosts file on my PC in order to access the domain under the new IP address. Apparently, this short-circuiting of CF's DNS was causing the problem because as soon as I removed the IP from the hosts file the site worked perfectly.
So first let me say, again, sorry for burdening you with a problem I caused.
Secondly, let me say what a joy it is to use Webinoly export and import. It is, without a doubt, the most powerful but easy to use site/server migration too I have ever used. I will never use any other.
Excellent, thank you so much Cristhian.