Then why could I build a fighter that could, with enough feats, do the paladin's smiting damage every round? A paladin's mount was not much better than any other horse, especially since you had no feat slots to learn how to ride it properly. A paladin's healing was good for stabilizing, but you had to stop attacking what was eating the party to do it. By the time you got spells, they were generally too minor to make much of a difference.
So yeah, they had their uses... but made them more useful than the fighter? I find that a little hard to swallow.
But the increased skills and minor powers that made the ranger and paladin different could be covered by the speciality. Make up a 1st level fighter with the acolyte speciality and the healer background, and it will be like your 1st level Paladin from the 3e era never left.
In core, a paladin could heal CHA X Level HP via Lay on Hands. More with supplements. A ranger could walk up to a pride of lions and between magic and wild empathy have a pride of feline warriors at his side is 30 minutes.
Many DMs would not allow those those with the Heal or Handle Animal skills respectively with class features that allow that.
I have no evidence specs and backgrounds would grant such powerful abilities.
You are confusing the Wizard (with charm monster on the purple worm) with the Ranger, and Cleric (the main healer and buffer) with Paladin here. Nobody is doubtinbg the Cleric's and Wizard's place at the table. They are called the big 4 for a reason, in that they have a defined role in the game. The rogue is the skilled one, the Cleric is the healer and buffer, the Wizard is the spellcaster, and the Fighter is the defender and slayer.
I sthink you are short changing what those classes could do. I played a ranger who on one turn charmed an angry T-Rex, then next turn charged the king's guard with the dinosaur, a pack of friendly wolves, and his bird friend, then finally jumped into a tree to teleport away when the castle exploded.
If specs and BGs can do any of that, fine.
If WotC wants to convince me of that, they have to do a better job than people have done so far. Because a ranger and paladin are just minor tweaks in D&D. With backgrounds and specialities available for minor tweaks now, there is a lot less for classes to do. So they better start justifying their existence and coming up with something better. I can already play the Ranger that is just a minor tweak of a fighter.
My point is that you can only play a naturalist fighter at the moment and not the rangers of past (except maybe the 4E one which was just a naturalist fighter). And even then you drain a you customization options to do so.