Can't see Ineos taking a punt on a guy with so little managerial experience. If they did bring him in, how much time and money would they give him? What if results and performance don't change after 3... 6 months? They'll be called out for appointing a bloke who clearly wasn't ready to step up to the 'biggest' job in club football. I don't see them taking this risk.
Which unfortunately makes me fear that Southgate will be seen as the safe pair of hands with all the relevant man management, experience and expertise to get the team back to winning ways. If Ashworth in particular is a big fan, then I'd need some serious convincing that they'll consider someone else. Southgate is deluded enough to think his style of play will be enough to win over the fans, the media, the team and put trophies in the cabinet.