Review history should be included when exporting with scheduling included. If you look up the Card Info for a card you studied, does it show the review?
I was importing a deck “on top of” an existing deck of the same name. In that case the due dates of existing cards are apparently not updated. This is with an old 32-bit Linux version of Anki (2.0.47) on the machine receiving the import. To get the updates, I see now that I have to delete the existing deck on the receiving machine before doing the import.