Nope, never used anything like that...
Ya' know, until I joined AS I had never heard of anyone putting green (un-seasoned) firewood under any kind of roof or cover. In my corner of the world, green (un-seasoned) firewood is stacked where it will season the best... out in the sun, wind and weather in single row stacks. A "woodshed" (or tarp) is only used after firewood has spent a year or two "seasoning" in the open. No matter how many times I read about "woodsheds" and their design here on AS, I still cannot fathom why anyone would stack green (un-seasoned) firewood under any sort of roof... I cannot fathom why anyone would stack green (un-seasoned) firewood where the seasoning process is slowed or limited.
Sunlight is pure energy... why would you eliminate (or reduce) that from the seasoning process? Direct sunlight burns your hide, fades paint, destroys synthetics, kills vampires, and... and heats water... making it evaporate faster.
Oh... and it also seasons firewood.
It's for snow and ice protection, or places where it really rains a lot. No fun pulling wood from a stack that has two feet of snow on top of three or four inches of ice, just to get to some wood and hope it is dry. Also some places it is accessible from the house, so you don't have to go all the way outside to get your wood when it is 25 below and you need more inside. And most folks way up north don't dawdle, green rounds are split as soon as possible and stacked, to speed up drying, and you don't want to stack it twice, so into the shed it goes. (at least that's how I remember that)
And a lot of places it is double duty, it's a woodshed plus where you store your stuff like splitter/tractor/mower, etc, and have some racks/nails where you hang up all your garden tools. The garage is more for the cars and trucks and workbench area, has electricity in there, etc. Shed-gardening and wood stuff, garage=cars and working on machinery and your mechanics tools, etc
Woodsheds down here are typically a roof with a wide overhang, open on three sides, with a wall on the north side, leanto construction. They get wind, etc, the wood dries OK and it keeps the bulk of the rain off.
I don't have one yet. A lot of people around here don't, all though most farms have a shed or two, with firewood in one of them at least, after it is split. It's like 50/50 around here with the much older places having sheds.
My stacks just get plastic on the top, open sides. There's sheds here but mostly already filled up with "boss junk". No space for firewood, so I stack outside between trees, or leaning on one tree angling uphill. I don't have that much "yard" per se, so I use that for dogs to hang out and for my gardens.
Green rounds sit out in the open until split, then get stacked and top covered. Just ain't worried about the wood drying when you got months of 90+ temps. It's hot here, but mostly always humid, so keeping the rain off is a good idea. It rains a lot in the winter here and if your wood isn't covered, well, wet wood just don't burn. If I had a woodshed I would use it, lacking that, at least keep the rain off of it.