On the savings side: I think we're about even compared to oil. But I'm okay with that: we didn't have any air conditioning at all in the house, so we had no duct work. (We bought the house at the end of 2022 like this.) Since we were already doing significant work to install the duct work and get a new air conditioning system, I wanted to make them heat pumps to get off of oil. I think in the long run, we'll save money. I eventually plan on installing solar panels. And even if it's a wash in terms of money, I'm care about climate change, and I want to do what I can to electrify my house.
edit: After looking at other comments, I should clarify what we have. We have two condensers outside, and three air handlers inside. It acts like "central air", for the most part. We do have one mini-split, for the main bedroom, as we could not get ducts to it. My point here is that "heat pumps" do not necessarily mean "mini splits." My house is almost entirely centrally heated and cooled through duct work.
I also tried to switch in 2022 and found that it would literally never pay off due to the dramatically higher upfront project cost, and so a combi gas boiler now hangs on my basement wall.
* - LWT = "leaving water temp" aka "supply" aka "flow" depending on where you are in the world
Or do you have existing ductwork (which a house with hydronic gas heat probably does not have, or else they'd probably not be asking the question)?
I understand the situation -- I had searched to see if hydronic gas heating used ducts, and it can but it seems that this is not common.
Their issue is not an issue of heat pumps themselves, but rather the lack of an air handler.
It's literally the same physical design as an air conditioner. So... yes, unless you hate seeing AC units too, I guess.
Adding ducts to an existing house qualifies as a ton of demo in virtually every case.