Of course not, because it is the same old England fans disease. They overrate the team and players, then blame the manager for not delivering on their inflated expectation. Then they boo the team and players start hating playing for their country. You saw the seeds after the USA result.
When we finally get a manager who has an accurate measure of the team, and sets them up accordingly, he gets blamed for them not being something they shouldnt be.
Can Southgate be criticised? Of course. Is he a shite national team manager? His record says not, especially baselined against what he inherited.