Ya don't. For smaller boats, you don't want unnecessary weight at the ends. Also, for smaller boats, it's not always as easy to go up on the foredeck to deal with the anchor. I heard years ago about small dinghy sailors keeping the anchor in a bucket. Having only grown up with Danforth style anchors, I didn't understand how you could get a big enough bucket to keep a Danforth in! Then I learned about alternative styles of anchors, especially the "next generation" anchor such as Rocna, Manson Supreme, and Mantus. I started off with a small Bruce knockoff (Lewmar Claw) for my 14' dinghy, and I was able to fit the nylon warp in the bucket, and the claw on top. I've since moved on from that to a bigger Manson Supreme (which is actually too big for my anchoring conditions at the lake) and a smaller, disassembleable Mantus Dinghy anchor for a lunch hook.
I keep the warp and @20' of chain in a rubber feed bucket from Tractor Supply down in my lazarette. When I get into the cove where I want to anchor, I bring the bucket up into the cockpit, and feed the anchor over the stern. This allows me to steer (under sail) or steer and control the motor, while easily handling the anchor. I can also set the anchor. Once everything is set, I walk the bucket up to the foredeck and cleat it off, leaving the bucket with extra warp on the deck. (I also tie off the warp to the bucket handle, so it doesn't disappear over the side as easily!)
When I'm ready to weigh anchor, I'll start up the motor and let it idle, or hoist the main and let it slat. I go up to the foredeck and usually haul the anchor, putting the warp and chain right into the bucket in a loose flake that runs out with no problem. I then carry it back to the cockpit. This is much easier because things are generally pretty calm weighing the anchor.
If I wanted to weigh anchor from the cockpit in a reverse of setting the anchor, I could tie a length of extra line around the warp about 10 or 15 feet from where I want to cleat off, using a rolling hitch. I can loosely cleat this at the stern cleat, and when I'm ready to weigh anchor, I could pull in on this line, pulling the warp back to me at the cockpit, and proceed to bring up all the rest of the line. I'd probably wind up pulling the boat backwards toward the anchor. (Note that I haven't felt the need to do this ever, but I've already thought thorough how I would.) I've heard that some people do this with the warp through a welded ring. But you'd still need to let the ring fall down the tight(ish) warp some before you could start pulling it back towards the cockpit. One of the benefits of doing this with a rolling hitch line around the warp, is that you could cleat it off adjusting the angle of the boat to deal with current that runs differently to the wind, or maybe to help prevent the boat sailing on anchor so much. My boat sails at anchor way more than I expect her to, so if I were really anchoring out for any length of time, I think I'd have to make up a riding sail of some form to calm it down.
One other reason to not keep a Danforth style anchor hanging in those brackets from the pulpit is that it is much more fiddly to deploy it quickly in a situation where you NEED to set an anchor. An anchor in a bucket with free flowing warp flaked in (not coiled and tied up) can be ready to go in about a minute from my boat.