@OP why not tell us more why you decided to use Unisat wallet?
If this is only for storing Bitcoin, I am not fan with Browser wallet extensions or plugins; they are more vulnerable to online attacks.
And mainly this Unisat wallet is used for Ordinal incriptions; you can use that if your purpose is to hold tokens, NFTs, and memes, but it is not good for holding BTC.
If your purpose is for Bitcoin, then better use traditional wallets like Electrum wallet.
If you are planning to hold a large amount, I suggest make cold storage for the Electrum wallet.
Weird address it could be a vanity address?
Honestly, it shows dead at the end of the address. We can generate an address with "dead" at the end too using a vanity generator, but this is a legacy Bitcoin address. Most people nowadays use bc1 addresses, which have way cheaper fees when you make a transaction than using old legacy addresses.
Yeah, I also think that it is an important feature.
I dont know who implemented first, but now metamask and phantom wallets also have this feature.
You can generate a bitcoin address with them and login into websites and do web3 stuff. Although unisat is bitcoin only.
I think Unisat is the first one; it was launched between March and April 2023 before MetaMask and Phantom implemented this feature.