Yes, the math textbook says exactly what I said, that it’s a multiplication
Nope, they say it's Brackets...
5(36)=(5x36) <== Brackets
bc=(3x4) <== Brackets
There’s no mention of it being a separate operation taking precedence
It's part of the Brackets step. I have no idea what "separate operation" you're talking about
The parentheses in your example are added for clarity
Nope. They are there because The Distributive Law requires them. "those who study algebra are required to make their calculations conform to these laws".
Whether you give priority to juxtapositions is a
A literal Law of Maths. See textbook.
the consensus being to just use parenthesis around when writing in a single line to avoid confusion.
No it isn't. You won't find any Maths textbook that says that.
However, there is no distribution step taking precedence
There is the Brackets step, including Distribution, taking precedence, as per Maths textbooks 🙄
as you mentioned
As the textbooks mention
the whole debate centers around whether the writer was too lazy to add parenthesis
The only debate is by people like you ignoring what is taught in Maths textbooks.

No it isn't 😂
The part where you said to leave it out of the mnemonic "It should be limited - like Orders - to only Multiplication and Addition"
Nope. 2/2 is not the same as 2*½. Do you need glasses or something??
Because 2-2 came first, before we started using Brackets in Maths, by several hundred years
You glibly ignoring the history and rules of Maths 🙄
Still wrong 😂
That's EXACTLY what the mnemonics are for! 😂 Don't need to understand it, just follow the steps
No-one gets confused or angry about that. 😂 There are textbooks that specifically teach to do it that way
I have never seen any textbook say to do Subtraction before Addition, everyone is taught Addition first
Understanding that you can do them in any order proves there is no problem 😂