Not the term, a term. They're different idioms with completely different meanings, both well-attested historically. "Huckleberry" is not a corruption of "huckle bearer" here or anywhere else.
Doc Holliday isn't quoted as having ever said the phrase, by the way. It's taken from historical fiction, in a context where "I'm your huckleberry" -- "I'm game", "I'm up for it", "I'm your guy" -- makes far more sense.
"They say you're the gamest man in the Earp crowd, Doc," Ringo said. "I don't need but three feet to do my fighting. Here's my handkerchief. Take hold." Holliday took a quick step toward him. "I'm your huckleberry, Ringo," replied the cheerful doctor. "That's just my game."
https://www.google.com/books/edition/Tombstone/4PnFRfNtyhYC?...
This simply isn't true. It was a common phrase and is widely attested in texts from Holliday's lifetime.
You originally said:
> due to Tombstone most people think it is: "Im your huckleberry" when in fact the correct term is "I'll be your huckle bearer"
I'm not arguing that "huckle bearer" wasn't also a common phrase. It's just not the "correct term" here. There's no basis for the idea that "huckleberry" was either a misquote or a corruption of "huckle bearer". Both the immediate textual context of the novel and the broader historical evidence for the phrase clearly establish otherwise.