I use a combination of mini-splitis and the gas fired Rinnai Energysaver in my home. It is an ideal combination for "net to the space" heating and cooling and the addition of the Rinnai allows a proper sizing of the mini. One thing not discussed in this post is the benefit of modulating equipment. Modulating equipment wants to do two things for you. Number 1, it wants to make you comfortable. Number 2, it wants to do it at the lowest possible input. In other words, it wants to continue to run. Why? Because if it is oversized or the low range is not low enough it has to shut off or overshoot. When it shuts off you end up with the perfect sine wave comfort curve. Hot and cold in heat, humid, cold and hot in cooling. Extended run times also allow conditioned air to penetrate adjoining spaces. Basic physics, heat wants to go to cold. With properly sized and positioned modulating equipment transfer grills are an effective method of heat transfer.
The perfect supplement, in cold climates to the mini-splits is the Rinnai. It offers redundancy and as much as I like my mini-splits for heat, having gas fired heat at the floor level is the best. We have 2200 sq ft and the whole place is zoned and comfortable in any season and by taking the central system to the dump I gained two closets and storage under the stair case. A well designed central system that is very well installed, meaning a tight duct system, which is another story in itself, can offer great comfort. However, by the time you add the zoning and go with the modulating high efficiency equipment and pay the labor to install same, you aren't saving much, if anything, over a mini-split system install.
It is interesting watching the HVAC industry over the years. I've been in it for almost 55 yrs now and in my experience, ALL the advanced technology has come from off shore. Modulating equipment was developed in Europe or Japan. Why, because they pay a lot for their energy while we have paid little and had little incentive to develop new things for the American consumer. I introduced the first modulating gas equipment into the New England market with the Rinnai's in '91. It was like magic. People couldn't believe how well they worked and sales reflected that. All the modulating boilers came to the States from Europe initially and forced the American manuf to develop their own. The inverter mini-splits have blown the American manuf business to hell in a hand basket and deservedly so. The fight to get central cooling to go from 10-13 seer was something to watch. My mini-split is 26 seer. I remember the fight to get the regs developed in the late 80's to force, and I do mean force, equipment manuf to raise the minimum gas efficiency from the low 60's to 78% on central equipment. American manuf were dragged kicking and screaming to the high efficiency market in boilers, furnaces and air conditioners.The same is happening today in water heating. The Japanese and Korean modulating tankless water heaters are forcing the tank manuf to up their game. At last! With all of these terrific technologies available the American consumer is showing the American manuf that perhaps they should invest in new technologies. It would be nice to see us "lead" in this way for a change!!