If Kili had survived the final battle, would his Morgul arrow wound have continued to affect him?

At Weathertop, Frodo was stabbed with a Morgul blade in the shoulder, and the aching stayed with him even after he was supposedly healed, initially by Arwen in the movies using athelas, followed by further treatment under the masterful healing hands of Elrond. The Morgul splinter was successfully removed. After that, Frodo enjoyed a time of peaceful recovery in the beautiful serenity and safe haven of Rivendell. He went on to see his quest to the end. Ultimately, the healing and recovery notwithstanding, the wound affected Frodo so much that in the end he felt there was no choice but to sail West.

In DOS, Kili is pierced by what we are told is a Morgul arrow. Tauriel manages to heal him using athelas, similar to the technique that Arwen used on Frodo. The incantation Tauriel spoke were, in Sindarin, the same words that Arwen, directly translated into Westron, spoke as she treated Frodo. Kili had no follow-up with a healing master like Elrond. There was no recovery period in a secure, peaceful, resort-like facility.

Question: had Kili survived the Battle of the Five Armies, would he have endured a similar, chronic suffering that Frodo experienced, through the rest of his days? Would he have eventually hurt so much that he would wish to end it all (even if he and Tauriel had ended up happily together somehow), assuming he had no way of earning passage to the Undying Lands as Frodo had?

Boromir was a great captain, and even the Witch-king feared him. He was noble and fair of face, a man strong in body and in will, but he received a Morgul-wound in that war which shortened his days, and he became shrunken with pain and died twelve years after his father.
- The Stewards, (iv) Gondor and the Heirs of Anárion, I The Númenórean Kings, Appendix A, LOTR

Keeping in mind these are the films, and they have appropriated and changed things-- I'd say, no. The Morgul wounds in the books were all inflicted by Nazgul. So, I think it is their signature poison. Sure, you can argue that if it had an external reason for their potency (Made from Nazgul tears, maybe?) they could confer the power to others, but I think not. If it were do easy to do, why not give the power to more people? Just my instinct...

the films in no way suggests the arrow that hit Kili is cursed. We are told that it is poisoned, by the Orc Thranduil interrogates. And that the poison in his blood will cause him to die, if it has not already killed him.

On the other hand, in the FotR EE, Aragorn reveals to the concerned Hobbits that Frodo is about to pass into the shadow world and become a wraith. Despite the word "Morgul" being in the names of both weapons, they are described as having rather different effects.

Is that they prompt new opportunities to think about just such issues.

I fully agree that there is no necessity to having a morgul arrow, but then I'm not sure why it's a bad thing either (I'm not sure why it is "forced" - it's just a mention).

On the rest, those are of course totally valid interpretations, but I think the idea that morgul weapons need not be exclusively in the hands of the Nazgul is valid too.

The citations are scattered through the volumes, I'm afraid, rather unhelpfully!

As another posted, this 'Morgul arrow' does seem to act differently than the 'Morgul blade' in FotR. I think perhaps because there were no more parallels drawn between them, I assume they act differently. (One acts like a poison, the other steals a soul) Maybe this is why I said it felt 'forced'-- they mention a 'Morgul' weapon, linking it to Frodo's would, but not drawing out any more similarities. It seemed like it was an attempt to link the trilogies, but what exactly did it link? I almost got the impression that they just recycled the name to add something from LotR and put something in that you'd need to be clever and know the books to understand.

'Well, yes I am,' said Frodo. 'It is my shoulder. The wound aches, and the memory of darkness is heavy on me. It was a year ago today.' 'Alas! there are some wounds that cannot be wholly cured,' said Gandalf. 'I fear it may be so with mine,' said Frodo. 'There is no real going back. Though I may come to the Shire, it will not seem the same; for I shall not be the same. I am wounded with knife, sting, and tooth, and a long burden. Where shall I find rest?'

Frodo dozed, though the pain of his wound was slowly growing, and a deadly chill was spreading from his shoulder to his arm and side.

Frodo threw himself down and lay on the ground shivering. His left arm was lifeless, and his side and shoulder felt as if icy claws were laid on them.

He lay down again and passed into an uneasy dream, in which he walked on the grass in his garden in the Shire, but it seemed faint and dim, less clear than the tall black shadows that stood looking over the hedge.

Frodo lay half in a dream, imagining that endless dark wings were sweeping by above him, and that on the wings rode pursuers that sought him in all the hollows of the hills.

Frodo sat upon the horse in a dark dream

"He is nearly spent," said Aragorn turning to Gandalf. "But this comes not from the wound. See! that is healing. Had he been smitten by some dart of the Nazgul, as you thought, he would have died that night. This hurt was given by some Southron arrow, I would guess."

Imrahil confirms that it was a Southron arrow. Aragorn concludes that Farmir's sickness was compounded of "Weariness, grief for his father's mood, a wound, and over all the Black Breath."