To channel more of that old-school holiday feel, you can let the peas sit on the lowest heat setting, partially covered, for up to 20–30 minutes; just add a tablespoon or two of extra broth if they start to look dry, and stir occasionally so they stay glossy, not mushy.
For a little extra flavor without adding more ingredients, let the peas cook until the liquid reduces a bit more—this concentrates both the broth and the natural sweetness of the peas. Leftovers reheat well in a small saucepan over low heat with a teaspoon of water or broth to loosen the sauce, making them an easy side for next-day lunches.
Enjoy your food!