Re: Large cockpit lazarette - how important?
You are right to consider this factor although not sure I agree with your list of things to go in it. Most monohull cruisers keep their outboards on the stern rail. You don't want to put little things like oil and cleaners there. They will end up in the bottom of the locker and be a major PITA to get at. You will want to keep extra sails there like a spare jib, heavy air sails, light air sail.
What I am sailing is that storage matters. One of my concerns about many mass production boats is that the lack small storage spaces because these are expensive to build and people do not gush at boat shows about all of the heat little shelves, nor want to pay an extra $7000 (guess) for them. Our Bristol has a stick built interior with more than 100 small storage spaces and we use them all. What we lack, like many center cockpit boats, is a large lazarrete. We use the shower room for storing big stuff.
In South Africa doing lots of boat stuff. Departure north from Cape Town around December 15th. Arrival in the Caribbean around the beginning of February, after 5300 miles or so.