IMO this is decision made best by deciding what style of the actual doors are you looking at. There is iIMO no difference between these as afar as sturdness is concerned and honestly really not sure why any big difference in install either . I think you need to share your style for this space .

Sturdiness is about how well made the cabinets are, no matter if they are framed or frameless. You can have cabinets that are framed that are not durable and cabinets that are frameless that are not durable, or both of equal good durability if the manufacturers are good.

Frameless will give you more interior space in the drawers and cabinets. Particularly the upper cabinets can be problematic with framed construction if you have dinner plates that are large, the framed upper cabinet may not fit them. A typical framed upper cabinet has 10-1/2” interior depth for standard 12” deep cabinet. Many dinner plates are 11” diameter. If your dinner plates are 10” diameter, then you don’t have to worry. Some people opt for 15” deep uppers in framed cabinets to avoid this problem. Or get frameless cabinets in standard 12” depth.