I'll say that I'm still kinda on the fence here, but I will point out that your argument is exactly the same as the argument against calculators back in the 70s/80s, computers and the internet in the 90s, etc.
The difference is a calculator always returns 2+2=4. And even then if you ended up with 6 instead of 4, the fact you know how to do addition already leads you to believe you fat fingered the last entry and that 2+2 does not equal 6.
Can’t say the same for LLM. Our teachers were right with the internet of course as well. If you remember those early internet wild west school days, no one was using the internet to actually look up a good source. No one even knew what that meant. Teachers had to say “cite from these works or references we discussed in class” or they’d get junk back.
To some extent, the argument against calculators is perfectly valid.
The cash register says you owe $16.23, you give the cashier $21.28, and all hell breaks loose.
You could argue that a lot of the people who few up with calculators have lost any kind of mathematical intuition. I am always horrified how bad a lot of people are with simple math, interest rates and other things. This definitely opened up a lot of opportunities for companies to exploit this ignorance.