what you are describing is no longer blockchain and has no cryptography involved anymore. it is just a database like what banks have where you own an account which has an associated balance with it. and unless you can find a way to decentralize it and include cryptography in it so that there is no way of cheating that "balance" without needing a centralized entity to update these balances and control fraud, you won't be able to implement your idea.
like Craig Wright said, the best protection for anonimity is to much data generated like gigabyte blocks.
yes, the best way of remaining anonymous according to Craig Scammer Wright is to always connect to NSA and report all your activities down to every detail willingly

because that is where we land with big blocks, a handful of nodes run by NSA which you have to connect to.
Yes it can be a blockchain, there still will use math and math is math, 2+2=4, its like the block criptography, just will have the total account balance as more a variable to be encrypted in data block and cannot be changed without redo all calculations again, same thing as now in blocks cyphers.
that is not how bitcoin works and I can not think of a way that this can work, I would love to see a system that works this way though.
besides if you want to do a change like this, you have to basically rewrite bitcoin and kind of fundamental change will never happen.
NSA can run nodes too, everybody knows bitcoins its not 100% anonymum, if you want privacy should be better to start to delete first blocks.
first of all the difference is that if we have gigabyetes of block only a handful of super servers can run bitcoin nodes instead of individuals on their personal computers and that will centralized everything.
secondly it is not only about privacy, it is also about censorship resistance. with a centralized system, those servers can force anything they want on you and you will not be able to do anything about it. for example they can decide transactions that come from your "account" are illegal and ban you. effectively that will lock your funds up. or they can ask $100 fee per transaction to be paid to them separately. you can't do anything about any of that because there are no other nodes. there are only these servers and they decide the rules.
and that is just some of the examples off the top of my head.
Yes its not how that works but its like it should be and can be done!
You can cypher the final balance of each address in each block in a way you can read the balance but to change it you need to recalculate everything back, why not?
That would give you speed of light to seach one address balance in the database, because you only need to search and test integrity of a "couple" of blocks back and you wouldnt need to recalculate all the moves in all database everytime!
You are contradicting yourself, the centralization will happen in the future, nobody is deleting old blocks!
Optic fiber is speed of light, is limited, so, in 1 million years you will have terabytes and terabytes and terabytes, bitcoin was done to work for about how much years? Let me know to start to tell my kids when they should start to sell !
It should be a white elephant?
I like to make software that can run forever and not with Y2K's!
BCH hardfork its nothing, it will need to be hardforked again, again, and again... Thats life, perfection takes time, and you need to be always improving, if bitcoin cannot improve it will die.
Look for RIPPLE shit, its the second marketcap coin!