Distribution is “effectively” multiplication

No it isn't, it's Brackets. a(b+c)=(ab+ac) <== Brackets Now solve (ab+ac), or do you think that (8-5) is subtraction and not brackets? 😂 It's actually the reverse process to Factorising, whereas Multiplication is the reverse operation to Division - not even remotely the same thing.

othing you say, nothing you point to, could possibly change that,

says person ignoring Maths textbooks 😂

because they will always get the same answer

No they don't! 😂 That's why it's a Law

1/a(b+c)=1/(ab+ac)

1/ax(b+c)=(b+c)/a

Oops! (b+c) went from being in the denominator to being in the numerator, leading to WRONG ANSWER 😂 Welcome to why we have The Distributive Law

if getting the right answer is all that makes two things the same

No it isn't, but that's the first thing which has to happen. See previous point where they aren't even the same answer, therefore one of them is wrong

shut the fuck up

says person still refusing to look in Maths textbooks 🙄