Bring to where ? Are you mapping the crypto wallet concept to the physical wallet concept as a mobile storage concept ?
All your money is the limit, however you store it.
you didnt need to bring a case of cash to buy anything before the 20th century
(Of course it’s a bit more complicated: https://commons.wikimedia.org/wiki/File:ICCard_Connection_en... – but still impressive nonetheless!)
Quickly you end up in a situation that either starts to look like how financial companies keep their most high risk keys, or end up outsourcing the whole thing to something that quickly starts to resemble your bank.
So ultimately it's just like cash: Fine for small amounts. Risky, but maybe livable for somewhat larger accounts, or a giant headache that will probably bite you when you start looking at lifetime savings.
If I lose $1 note. It’s gone. If I recover it, then it’s no longer lost.
Of course you may choose to encode your wallet key on paper, metal, or stone granting it properties not unlike a note. However you have now compromised the security of your wallet as well it becomes no mere $1 note, rather it is a note that represents all or a significant fraction of your net worth.
But you’re reinventing money with extra steps.
But you gain some desirable properties over traditional money.
Without crypto, you don't have frictionless and permissionless transfers of arbitrary value across international borders.
Eg, if you shard a key into three pieces and each person carries one through security, did anyone actually transport the money through?
While an interesting difference to study, the average person is not going to care about the former case. They just don't want to keep their life savings in an asset as easy to loose as their pocket money.
What most bitcoin fans seem not to understand is that for the vast majority of people, transactions being reversible by authority figures is desirable.
Yeah, but if I lose the physical 100$ I am carrying, that doesn't prevent me from accessing the rest of my cash stored elsewhere.
I've never lost access to the rest of my cash stored elsewhere.