Mini splits are more efficient than any other way to heat and cool. You gas boiler with radiator heat is limited by the thermal efficiency of the boiler. It can't be more than 97% efficient. Meanwhile, a mini split is more like 250% efficient, because it uses one unit of energy to move 2.5x as much heat.
This is effected by temperature. When temperatures are warm (47° is where this is tested) a Mitsubishi unit might have, depending on the unit, an efficiency of nearly 400%, meaning it is 4x as efficient as electric resistant heat. At 17° that will fall to 280% or so. Still very efficient (almost as efficient as gas heat once you include the losses at the power plant. In other words, above 17° you will use less gas to heat even if your power grid runs on gas). At -5° if will still put out the heat that it is supposed to, but efficiency will fall.
You may need supplemental dehumidification and if you have a tight enclosure you might need supplemental ventilation.
Anything you can do to tighten and insulate the building will help ensure that this project is successful.
The proper way to size a mini split is to use a Manual J calculation and to use results from a blower door test as an input for air infiltration. Some of the HVAC guys I talk to tell me that they routinely find heating equipment that is 2x or 3x the size that the space actually needs, because there are so many fudge factors built into the heat load calculations. Furnaces can handle short cycling much better than heat pumps can, so it is important to be accurate.