Why isn't advanced chess more popular?

Every chess player at one time or another has felt the pain of a beautiful, well-orchestrated build up of pressure suddenly in ruins because of a pawn fork or some other terrible oversight. The only solution is to go through every variation many times and make sure you are not overlooking anything. At some point in tactical positions you just have to go through and test many different variations in your head, and sometimes a fork move in 10 moves time can only be described as luck. 

So why not Advanced chess, where both sides have a sort of chess tactic "calculator"?   

Actually... I think a certain amount of take backs would be a good idea as well. There is more to chess than calculating tactics and yet the higher thinking in chess has to give way to a hugeeee tree and to extensive blunder-checking for every move (especially in long games). I also think both players should be able to beat the computer algorithm easily based on their own positional skill, so the computer is just a light check on clear blunders that can ruin games. It's not like you won't have to be looking ahead. There are moves that are "right" or "wrong" positionally, including positional calculating blunders, but at least they don't cost the game.

I'm not saying it should overtake chess as the main game, but it could be some variant of it.   

I think the factor you are forgetting about is time.

I believe it all comes down to time. If you are playing like a Correspondence Chess with a long time control than you will have the luxury to check, double check, triple check after every move for example.

In like a blitz game or standard game the time is not so great. I have had situation's when I would play a standard 15-10 game and my opponent would do a deep calcuation. I was able to figure it out and find the best way out. However, When it was all said and done. I ended up with a won position lol in a lost game due to losing on time.

I believe even a low level player if they really strained themselves and kept looking at 1 position over and over again would be able to figure out a deep calcuation/advanced one. If time was no objective. yet when you add time it chances the nature of the situation.

So you want more advance chess but the question is can you solve them fast enough in a fixed time control.