I would avoid a house with MS heat pumps. They are ugly and nontraditional. Highly efficient and surely they are functional but stupid looking compared to the regular registers that we expect to see.
The good news is that conventional split system heat pumps have done a lot to catch up to the goofy looking minisplits in terms of cold weather operation and SEER.
Mini splits are a lot different then just 5-10 years ago. Besides the wall mount units they also have above ceiling units, slim ducted units, floor units, and more. I just put in a ducted unit for 1400 sqft. The efficiency is a 19 seer hyper heat (heats down to -14*f). To get those efficiencies in a conventional system would cost twice (equipment only). I don't try and sell/install one or the other, but what works best for the customer.
OP, to answer you questions: I would not be afraid to buy a house with mini splits for AC and baseboard (electric or boiler??? That could be a big thing.) heat. The pros for mini splits are that they are quiet, efficient, easy to retrofit, work well in large open areas, and user friendly. The cons they can be unattractive (it's more opinion than fact), expensive (equipment costs), not great at filtering the air, not as easy to work on (parts are squeezed in tight.), not as many HVAC techs are knowledgeable about them, and are not designed to quickly bring temps up or down (they have a slow recovery rate). I like them and have one in my lake cabin.