I must be an crusty old fart, because if I spent that amount of time looking at my tires, I'd never ride. A quick spin to make sure no bulges and cords, and off I go. I don't ride on tires that are square though, so that likely helps.
My choice? Vittoria Rubino Pro.
Up to the first flat I never looked in detail at my tires. I did notice the they were starting to show wear.
Are those tubeless?