Yes, with a big asterisk on the “should”. The law that pushes the deadline back may theoretically not go into effect until after the deadline is passed, and they paired it with some other campaign finance rules that are probably unconstitutional, so there’s an outside chance the whole thing gets struck down.
All that said, the Democrats won’t win Ohio for the presidential race. They want to be on the ballot to help turnout for the Democratic senator who’s running at the same time. So if they took a risk and lost, it wouldn’t be the end of the world.