Doorbell question: Do I need to keep my chime connected to run power to the doorbell?

Apparently a common issue with video doorbells using existing hardware is a constant humming from the indoor chime when it's not going off. I'm not an electrician but from what I understand it has to do with the current the smart doorbell outputs. I know an easy solution is to use an ohm resistor which I am willing to put in.

Before I invest in buying some and replacing the chime all together (mine is ancient and too soft anyway), I was wondering if I even need one? You can set a chime to go off from the bay station so I could just use that and my phone?

My questions is, if I disconnect the chime will it kill power to the doorbell? Has anyone tried this? I'd rather just use the bay station and save the 30 bucks.