There's no one true Paladin deck archetype. Aggro is a mainstay, has been since launch (Divine Shield swarm decks have been around for a long time and cards like the now HoF'd Divine Favour are evidence of that).
Midrange has also been around for a long time and historically probably the most common and most successful. Secret Paladin was the most successful example of that, but the more iconic one was probably the version that ran midrange minions (Sylvanas, Tirion, Boom, Piloted Shredder) along with things like Quartermaster.
Combo has also sometimes cropped up in the class. Anyfin, DK Uther OTK and the current Holy Wrath OTK decks are an example. That said due to extremely limited direct damage in the class this is probably the most foreign one.
Control? Also not really alien. We had one decent attempt at it during N'Zoth but cards that heal are a hint that control is an archetype Paladin could play, going for the long game rather than going for tempo. Lay on Hands is a great example (albeit dated). Also I would argue that in those days any kind of slow midrange deck effectively was classified as control at the time, since the consistent value generation you see in some of the DKs and the hero cards like Dr. Boom, Mad Genius simply did not exist and so you ended up striking a balance on the question of "how much kate game stuff can I cram into my deck without dying to aggro?" - Control Warrior ended up running things like Dr. Boom, the Alex/Grom combo, Sylvanas, Geddon, Rag, etc - by today's standards this would be a slow midrange deck.
Unfortunately Blizz will never release this archetype for Paladin anymore because of their fixation on minion swarming and secrets as "part of the class identity." They never give Paladin the removal nor the consistent late game value cards, the resource generation(this is a big one, card generation being awful when you're forced to run two cards for one boardclear meaning you fundamentally don't have as much resources as other classes do is awful), necessary for Control to work.