Both methods work fine here; I actually used an all Quad solution myself:

But it’s good to know more than one way of doing things, then you can decide what you like better in a specific case.
I do not believe in a ‘one solution for all situations’, that some YT tutorials suggest. “Just learn these 6 rules and you’ll always get clean topology!”
Luckily, that is not true; that would take all the fun out of it, right?