I dont own a power planer, or a bandsaw, but given the amount of stock I resaw by hand I can certainly understand someone wanting to use a bandsaw for the job. I'm personally researching saws that can do the job exceptionally well. My Disston works well up to about 4-5" stock, my largest ryoba is the same, I have an anahiki that works up to about that level as well but works a little faster.
What is really needed however, when it comes to wide stock is about 1 TPI or even larger. That is a rare bird in terms of hand saws, maybe Maebiki nokogiri are about it.
Cabinet work does involve a lot of resawing if you like to match stock well.
Bumbling forward into the unknown.