The part in bold is bollocks mate. Southgate chose who would take the penalties, nothing to do with the players
You're correct he did. I'm sure he might have had quiet words beforehand though and been told "I'd rather not" before deciding out of the ones still willing to take them he'd choose. He might of course just be defending the ones who said, "Fuck that!" when asked. So if you're among the three now getting abuse for missing, how do you think they will feel next time it comes around?