As the PIC, you are responsible for flying the aircraft in accordance with it's manufacturer's specified procedures. If you are very confident that you can do this from memory, and get it right (probably 'cause you have hundreds hours on type) - it's up to you.
Do I always use a paper checklist? Nope! After 3100 hours in my C 150, There's not much I'm going to gain from referring to a checklist for it. However, a month ago, I flew four types in the same day - I used the paper checklist for the other three: A Lake Amphib I was landing on the water for the first time this season (wheels up for landing please!), a DA-42, whose engines are somewhat new to me, and a Quest Kodiak, which I had never flown before.
In any of those three types, I could not present a good argument for not using the paper checklist, based upon either my non familiarity with the type, or my recent currency on the type.
In my opinion, if you have to ask if you should use the paper checklist - you should.