Indeed, there are many parallels, and in academia the same sort of people study both topics (e.g. in "computational social choice"), and they are often taught i

Indeed, there are many parallels, and in academia the same sort of people study both topics (e.g. in "computational social choice"), and they are often taught in the same lecture series (e.g. https://sites.google.com/view/optdemocracy23 https://sites.google.com/view/optdemocracy23, https://rohitvaish.in/Teaching/2023-Fall/ https://rohitvaish.in/Teaching/2023-Fall/). There is an important difference though: elections concern making one decision that affects everyone, whereas (fair) allocation involves deciding who gets what, and everyone is only affected by what they themselves get. It's the distinction between public and private goods.