I think you're stretching pragmatic with the definition you're giving. There's a difference between pragmatic, tactical football and playing like a total underdog Greece-like team.They don't but neither do Belgium, France last 2 competitions, Portugal for the last 8 years etc... When is the last time a national team who plays on the front foot won a major competition.
Germany 2014 if I'm correct... before that we had a very pragmatic Spain team win 3 comps in a row. So between EC and World Cup, one attacking team has won it since 2008.
^^Greece played better football than England up to this point in their run and I'm actually doing them a disservice as they were an amazingly well organised and drilled side who executed a plan to perfection.
England have a literal wealth of talent at their disposal and could stretch their legs and win games. What Southgate is doing is all well and good until it backfires, then serious questions about under utilisation of the assets at his disposal would be asked.
If Southgate wins the whole thing playing as he is, then all detractors will eat crow, and perhaps rightfully so.