When you come up with a theory it's on you to reason it out
Serly, I'll oblige; and I'll take your approach and apply basic rules of informal logic- I'll synthesize information to come up with a new theory--and I'll even use kneelerSpaek beancounter bulleted comments if you prefer an ordered approach:
ASSUMPTIONS - PREMISES - aka MACRO RULES OF OPERATIONS:
By now an astute reader/viewer should easily recognize what is mostly good-evil duality, transformation, ying-yang approaches of GRRM - it's all very Black and White, really. he says it's not, but it is - but there are a lot of grey's and neutral in the book also - Bronn is grey.
So, now we are at this: some swords are magical weapons and aligned either towards a mostly good (Green) or evil (Red) purpose - and those swords impart higher skills on the wielder - Gerald Daynes skills contributed to the powers of DAWN and made Arthur Dayne a better swordsman - and when Arthur died whereever DAWN went it become an even stronger sword. Keep in mind, some swords have disappeared, been reforged, and are now, just like characters, under different identities - perhaps when Ned left the ToJ he took DAWN and reforged it into ICE - and the whole backstory of that sword being a family heritage sword is false. One things an astute reader should realize is all the red herring misdirects in the ASOIAF story - there are just a lot of information that is purposely false - just like when a falcon is used to intercept messenger ravens - to change the sender's message to something more desireable so that the receiver thinks differently - this is why Littlefinger (and Sweetrobin) are into falcons - falcons kill ravens and crows. You most likely cringe at the thought of this falcon > raven/crow as you find no direct evidence of it in the books -- and that's cool with me, I'm just going to chuckle a bit when the most obvious plot devices are ignorantly ignored. LOL ... GRRM on purpose doesn't give answers because he wants the readers to make synthesis answers of their own- thus he *might not ever reveal R+L=J, as it doesn't a matter - because Jon is already defined in the minds of astute readers - but then you have slow-witted show watchers whom must have things defined on the screen.
BACK TO HEARTSBANE:
CONCLUSION:
Samwell (most likely), or someone else who later bears/carries the sword Heartsbane, will happenchance meet with Gendry, and cause Heartsbane to be reforged into another new magical sword - and Dawn may be transformed I'd presume (kook theory is that ICE was DAWN - back stories are all false)
How you think about new theories is a faulty approach to GroupThink - as it discounts an entire world of alternate creative approaches towards problem-solving. This is the bane of modern society- over reliance on data, strictly limiting thoughts to science and totally neglecting the arts of problems solving.
So I'll ask you, where is freedom of thought expression in your approach? Where are these rules of theorum you state published?
Enjoyment of sci-fiction (like life itself) is not merely seeking answers through spreadsheet evidence analysis in the literal word then accepting that as fact. Life itself would be just a pharmaceutical numbers game if it were that way. You seem intelligent, surely you recognize the much larger themes of ASOIAF - the entire story is a much larger Greekly allegory nuance to our modern era?
& HA! I'll plant this evil seed in your mind: the ultimate face-off is that the Night's King himself (Others=Targaryens=Old Valyrians=Red Kings really) may only be killed through Bran's dreamsight sessions - a sword battle between the Night's King Icy sword and Bran's magical sword -- so bran needs a magic sword, perhaps itself forged while he is within a dreamsight session--maybe not. Under strict Dungeons and Dragons interpretations, only magical things can kill magical things -- the show White Walkers are mostly a Children of the Forest magical things - as no humans should be able to kill them unless they use magic property weapons - sam used obsidian, Jon used Jorah Mormonts sword (history of which could be DAWN or another sword?) - so there is some consistency of magical sci-fi science (fiction) in how swords are used.
But Bran has a problem - in that like Jamie Lannister, his own magical sword wielding arm is 'marked by evil' - so Bran needs to do something with that arm - freeze dry it or fire char it - or cut it off -- freeze dry most likely solution.