It would be like calling the Republican Party the "republic" party.
It has been the democrat party since Andy "Ol Crook" Jackson founded it. But a few years ago they decided they would rebrand as the "Democratic" party because then any one who was against them would be anti-democratic. It was an effort to demonize their opponents.
But they never actually changed the name.
So they are still the democrat party.
You are so right, I wish every newscaster had a buzzer and every time someone said democratic party he would sound the buzzer. I imagine it would sound like a fire drill.
A “Democrat” or “Democratic” party is antithetical to a Republic. It is oppressive and tyrannical by its very definition. Two wolves and a sheep deciding on what’s for dinner.