According to the snake websites and that prof I talked to decades ago, herpetologists tend to go by things like head shape, eye shape, and other characteristics in addition to colors, for the reasons mentioned. Whether or not they've been observed in the field, I don't know. But it would seem that they at least recognize the possibility, or they would more heartily endorse the old adage instead of saying "probably, but not definitely."
Anyway, it was red, yellow, and black, but none of the patterns your pictures showed. It was both "red against yellow" and "red against black." Because it was alternating broad bands of black and yellow separated by narrow bands of red. I'm hopeful it was a king, 'cuz he might still be out there somewhere.
If it doesn't look like my top picture, it's not a coral snake. And ultimately it doesn't matter what kind of snake it is, if the sole reason for determination is "dangerous or safe", ""venomous or not venomous", "coral snake or
not coral snake."
Again, theoretically it's possible that there are venomous coral snakes that don't match the above. It's theoretically possible that such a mutation occurred. But since there are no large scale observations of this mutation, no major classifications of this mutation, no categorization of such a coral snake with this mutation, it would be extremely rare in nature, and therefore extremely unlikely that your one encounter with a coral snake, occurs with one that has mutated away from the appearance of all the known coral snakes in existence.
If you hate all snakes, fine, I get it. But worrying that you might encounter a coral snake that doesn't match the above picture, is something you really don't need to do.
Edited To Add-- You live in an area where coral snakes are common. So while it's good to be cautious about all stripey-looking snakes, it's also probably a good idea to study that top picture, so you know exactly what a real coral snake looks like. I've camped a LOT in my lifetime, and I've pretty frequently encountered coral snakes, rattlesnakes, and cottonmouth water moccasins. I know what they all look like, I've studied and memorized them, to help keep me and my family as safe as possible.