As is very often the case, when I come upon something I instantly want to learn how to make at home, it turns out that Deb at Smitten Kitchen has long had a recipe for something uncannily similar. This is very lightly adapted from her broccoli slaw, and inspired by the broccoli salad banchan at Quarters (where they serve you cheese with your barbecue! Whoa.)
Find it online: https://tworedbowls.com/2017/05/24/broccoli-salad/