Ok, Brian - I have experience both ways.
I did the veneering on my topsides using strakes that were cut fat but not uniform in thickness.
I veneered my deck with uniform thickness strakes. (Yes, I bought a planer)
The difference is time. You either are going to spend time sanding your strips to a uniform thickness after installation or you are going to spend the time and run them thru the planer.
Given the option, I would spend the time to plane them. Life is just easier and it really does not take that much time. You can run several thru at a time and do a continuous feed.
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Dave
My Riviera build -
the Midnight Cry Project Video of Midnight in ActionBlogFew things in the world measure up to the thrill and satisfaction of boating in a boat that you built.