Well maybe we should start from permissionless, I don't really know what you mean by the permissionless??
By permissionless, I mean non-custodial/self-sovereign/nobody can deny my access. I see centralized companies use the word "non-custodial" but I KNOW they can one day decide to shut down my access if they wanted to even if they didn't "technically" control my private key.
Op I think you are probably mistaking an exchange multisig wallet for a custodian wallet. Also op it is important to understand that although Bitcoin is decentralized, centralized exchanges can also offer crypto services including Bitcoin.
What is an "exchange multisig" and what is a "custodian wallet"? I don't trust any centralized exchanges to hold my crypto.
You may not get any wallet that is multichain and having bitcoin multisig, but you can get multisig that has the features. You can go for Electrum or Sparrow wallet multisig.
I will advice you to deal with bitcoin separately from altcoins.
Is it true that I need to remember the order of signers for Electrum and Sparrow, and that I need all signers to approve the transaction (as opposed to m of n configuration)?
I guess what I'm looking for is a smart contract wallet like Safe (
https://safe.global) but can also store Bitcoin.