Chess IS solved. Chess is a finite game, so it is POSSIBLE to solve. Analyzed by humans, no probably not. By computers, it already has been analyzed.
I agree that it is possible to solve, but I don't think it has been solved yet.
I hope it never is solved though, it will suck if we reach the point where Stockfish ∞ announces white to mate in 63 moves, before the game has started.
Maybe the game doesn't need to have every single possible position analyzed, if a sequence of moves can be found that will force checkmate right from the start, no matter what is played to try and stop it...
To find such a sequence, it would be necessary to analyse all the lines resulting from more than every logically possible position.
I'm just joking .... since such a sequence doesn't exist. However, that's not the point, because it's off-topic. The topic isn't about a possible winning sequence but specifically about analysing every possible sequence. Sure, "every possible sequence" has no bearing on chess, because the overwhelming number of possible games of chess are nonsense in chess terms. As soon as an obviously losing mistake is made, in chess terms the position is nonsense, just the same as if you played 1. a3, 2. Ra2 and 3. Ra1. But that's what the question asked.
Chess will never be 100% analysed. Correct.
Because it would take too long. Mankind will be extinct before it could be finished, even on the fastest computers.
I think even most pro players would disagree. It doesn't even have to be fully solved for it to become less and less sporting. Wesley So and Hikaru think Chess will be dead in around 80 years as computers get more and more advanced. Similar to what Bobby Fischer, Capablanca and many others have said in the past. I personally think blitz and bullet will be here to stay for a long long time. Or we will have to adopt some variant.
If they disagreed with me, I think they'd be wrong, but then, being a pro player makes you good at playing chess but not at understanding what a full analysis would require.