A major drawback with using minisplits in every zone is that you have many more potential points of failure. The upside is that when one fails it only affects one area and not the whole house. Another shortcoming is that there are fewer factory trained techs to work on them.
And the man hours required to fix a mini split cassette may be more than a standard condenser unit. Especially if it is a leak. Most techs don't like to work on them.
If buying new construction I would install a variable speed compressor and evap fan with a zoned system using static pressure. The fans shouldn't be much more but the outside unit will be. But it should pay for itself in the long run and last longer because there will no longer be thousands of hard starts over its lifetime. And the new ones may be able to be diagnosed remotely as well as providing more diagnostic data with trends. The downside is the more sophisticated the system the fewer companies you can call for service. That may change as more are installed.
(edit). Variable speed is much better for humidity control if that is an issue and you will avoid that big blast of hot air when the fan kicks on during the summer.
Variable-Capacity Heat Pumps - GreenBuildingAdvisor