Okay, lets cut it down a bit now:
Your question "Is there a surfboard that can match a Door in lightwind?"
(And keeping in mind you are talking some chop, and not fully clean flat water)
Yes, a raceboard can, and will also outperform the Door in performance, and planing level quite equal, but a tad better on the raceboard because of apparent wind.
A big flat fish strapless surfboard can come closer than many others, but still a longshot from the Door and Raceboard in light wind.
(a strapped smaller fast waveboard in fact just as good or better, just a bit more sensitive to extreme lulls)
Skimboards can come pretty close too, but still a shot away, as they are simply "smaller" doors and unstrapped
Okay, thats the "lightwind" planing levels.
Regarding upwind, Raceboard miles ahead, then the Door, and then the Fish and Skimboard maybe equals each other a bit further down the upwind scale.
Regarding feel and fun and options:
Door - easy for beginners. Can do some tricks and aerial jibes as a TT. Jumps well. A bit tough to ride in chop. Can be ridden quite fast (fun).
Raceboard - easy to ride, but you need to learn to jibe. Can do runs up and downwind very easy, and get "around". Excellent for jumping. Can be harder to ride if you "push it", but soft if you dont. Not good at all for waveriding and carving "soft". Not that many "TT" tricks to do at all. Kelp can be a PITA, but can be solved with other fins. Good in chop or flat water or waves. Need a bit more water than others if big fins. Can be ridden really fast (fun).
Big Fish - easy to ride if used to strapless, and jibe relatively easy to learn. Very fun for "Soul" carving and riding waves in light wind. Not good for jumping, not even doing "ollies" as this is very hard or impossible in really low wind. Tough and not suited for heavy chop, as you will (need to) go slow, thus losing both upwind and low end. But still not as hard in chop as the Door can be though...
Skim board - fun to ride, like a skateboard in some sense. Not for jumping at all, and not good in chop. But excellent for light wind "planing" and doing tricks of all kinds.
Not that good for extreme lulls, as it has the lowest volume and the least planing surface of all 4 types.
But VERY inexpensive.
Just to sum it up....
I might have forgotten something, but hope above helps.
So there is a place for all 4 types of boards as I see it, with very different characteristics
Kindly, Peter Frank