I call it mulled wine. Dave jokingly calls it "hot sangria."
He's not totally wrong. A classic, mulled red wine does remind me of a holiday sangria only, well, hot (or at least, a drinkable, warm temperature.) Take out the extra spices (with the exception of the cinnamon stick, which looks nice as a garnish) and yes, it could all just be poured into a large pitcher of ice and served over ice in wine glasses, as an alternative!
Whatever you call it and however you serve it, I'm hopeful that the warming spices, extra kicks of pear vodka and ginger liqueur, and jewel-like red color will bring some cheer to your holiday table!