The democratic party is not yet running anyone; the two major party members running are Biden and Klobuchar who are neither populist nor demagogues; it's unlikely Bloomberg is the preferred choice of anyone there; Bloomberg is not populist (and I would also argue against demagogue); and Sanders, who might reasonably be called populist (but also not a demagogue) is also far from the DNC's preferred choice, maybe even below Bloomberg.
But sure, "both."