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Hundred percent. My only comment is unless there is some kind of evidence that tablebases and traditional chess engine software arnt oders of magnitude more suited and better at ches than modern notions of the model you are takling about why would one bother going down that route at all when the tool allready, a very capable tool exists that is argueably less expensive than a brand new scientific calculator.
As in it is not stretching the truth sayimg that second hand i5 intel processor powered desktops with latest version of stockfish are regularly going to landfill, to many worth zero dollars , so a model as you call it drawing on the capabilities of a tool that many consider to be worthless, well i not long ago threw my i5 equivalent desktop in bin.

So we are not talking about something that stretches ones imagination.
A dirt cheap second hand desktop.
Can an llm model, and my point origionally is not "models".
It is specifically free grok.
As yes these models can be linked with stockfish very easily apparently and certain many are.
But im talking grok, chat gpt, claude public free llms because thats all i know about and have used , not having the capability of a trash second hand desktop, less cost than a new calculator. Even grok agreed with me
I think that this should be a basic accessable tool grok for a fee can draw apon.
What you are stating is much different.
Your delving into the actual mechanics of you called it a model.
To me thats newspeak for glorified trash.
Id go and have gone much further, calling these models you refer to as the devil reincarnate itself.sorry shouldnt be getting so smart about such topics when i can barely

Ok im going to press send and hope my response is a at minimum a weak 3 out of ten sorry mate ive very damn angry down here very very shit day.
But yes i hundred percent agree with your point in every way and honoured you would deem a post of mine worthy of response , god bless you Sir.