As someone that drinks white Russians as my go to drink, I can confirm that this is the case. I rarely say, "I'll have a white Russian" and instead often ask, "can you make a white Russian?"
I asked that once at a friend's wedding that had an open bar. They could, in fact, and I've rarely regretted anything more than the monster I created when I shared that fact with other guests. Those poor bartenders probably didn't get to make anything else and everyone was absolutely shithammered because they're so delicious and easy to drink.