If the kitchen has crown molding along the entire perimeter and wall cabinets are going all the way to the ceiling (with suffits or not), is integrated hood an only option?

I have looked through all the recent kitchen posts and couldn't find any that fit this description.

There are few on Houzz that have non-integrated hood but I am not sure I like how they look.

https://www.houzz.com/photos/eagle-estates-traditional-kitchen-vancouver-phvw-vp~574607-Estates-eclectic-kitchen-vancouver

https://www.houzz.com/photos/portland-remodel-contemporary-kitchen-portland-phvw-vp~57645-Remodel-modern-kitchen-portland

https://www.houzz.com/photos/campbell-kitchen-remodel-traditional-kitchen-san-francisco-phvw-vp~131885-Kitchen-Remodel-contemporary-kitchen-other-metros

(This one below looked really weird IMHO:

https://www.houzz.com/photos/ullswater-traditional-kitchen-raleigh-phvw-vp~137857-traditional-kitchen-raleigh)

If one wants a non-integarted hood, what is one to do with the trim/molding?