doesn't need to match

I would think about grease and steam in a kitchen and cellular blinds to me would not work . In fact with that view i would not do anything . As for a table I would do a Saarinen with tulip chairs or Eiffel chairs

Since you see both from either area, I would do the wood blinds in the kitchen too. Also, I'd want something that can be wiped off near cooking. Are the blinds for privacy or light control? If possible I would avoid any window treatment in the kitchen. Beautiful kitchen!