Should the DNC shift left or center?

I keep seeing folks that believe the DNC should shift more towards progressives/leftists like AOC and Bernie. The recent rally was moderately successful.

And at an emotional level - I get it. You’re frustrated. You’re upset. You want to feel energy from people saying what you think.

However, historically leftist candidates underperform and in fact the last 4 Democratic presidents were centrist.

Biden, Obama, Clinton and Carter were all centrists. Maybe not on every issue but they were not anti-capitalistic nor deeply socialistic from a redistribution perspective.

Given this battle of feeling vs precedent - which direction should the DNC go?

Towards progressives with “aggressive” leftist policies or back towards the center for broader appeal?