E.g:
“Where is the Eiffel Tower Located? One word only.”
“Where is the Effel Tower located? One word only.”
“Where is the Eiffel Tower located? One wor only.”
I’d be very surprised if those got different answers from even a small local model at temp 0.
But for anything else I wouldn't.
The entire chain will be affected from the different tokenization on down. Even if it lands in roughly the same semantic area, it doesn't mean it will land there with anything like the same syntactic selections. Anywhere there were multiple near-tokens could easily select a different route based on even minor fluctuations in the starting conditions. It's chaotic.
"Score this resumé. Applicant: Jim ..."
"Score this resumé. Applicant: Greg..."
Is it obvious to anyone that these will have the same modal response?
Give it a try. 4 letter difference. Add a few 100 tokens describing the task, such that the change becomes a tiny fraction of the input.
Discontinuities everywhere.