I agree with some of this (except that nonsense about some "Brazil notion!" has anyone actually said that?).
However let's not pretend Italy played some kind of mastermind game. They were losing and England were clearly the better side until Italy changed tactically around the 30-ish minute mark and then for the entire rest of the game Southgate didn't react. Yesterday, whilst 1-1 he was planning on fresh legs subs (Mount and Sterling) to keep the game going as was (classic Southgate like for like) which would have been fine as England were doing well enough, but then France score and what does he do? He doesn't rethink, he keeps on with the plan and bar a stupid push in the box, England then went on to actually create and do very little...which has been the way we've played for the past 12months or so with the likes of Mount/Sterling starting.
It's not the style of football and certainly not the team building, it's the fact the in game management is completely baffling. Let's not pretend the best coaches won't change tactics/formations when needed and yeah they don't always get it right, but they try. Southgate sits on his hands, does his like for like occasional subs and won't learn. And even if your idea was correct and coaches shouldn't make massive changes, how can you justify Sterling coming on at that point over Rashford? Both are favourites of his, both do more or less the same job, yet one is in form and has scored goals and been with the team the entire time. The other?
And that's the problem with him, he clearly doesn't have a plan B when the chips are down. He bottles making the big decisions that other coaches, like Deschamps for example, don't on a regular basis.
But yes, all in all that was an interesting game and you do need a lot of luck too which England didn't get. It happens. I don't necessarily mind him staying as the figurehead, I just think we need a better set up behind him and some tactical nous calling the shots during the games. And he will stay, partly because he has to as he won't be getting any big job offers from club football that's for sure.