Most likely.
And, speaking of China and the memory of the Mongol period (aka, the Yuan dynasty), if pop culture artifacts, such as Kung Fu epics, are any guide, the subject of resistance to Mongolian incursion (a whole sub genre unto itself) can still stir audiences' blood.
Consider the great, early 1980s Shaw Bros film, "Eight Diagram Pole Fighter" (Mandarin: Wulang ba gua gun) which tells the story of the Yang family, all superb martial artists and deeply loyal to the doomed Sung dynasty.
Killing Mongols and Mongol sympathizers in spectacular fashion (after the need for this bloodshed is established by showing the foreign devils' cruelty) is, along with loyalty till death to family and motherland, the core theme of that film.
There are many other examples.
I'm curious to learn if Iranian hero tales and pop culture have a similar 'expel the Mongols!' sub-genre.
.d.