I know all these terms. You can also call such wallet self-hosted.
You can also search for it online to know that I am correct.
I did neither know about that term nor the website from which you got the term, honestly.
I recommend you to use biggest websites in cryptocurrency industry when you need to find educational resources and terms.
Custodial vs non-custodial wallets (Coinmarketcap).The term host or self-host is misleading, you can self-host a wallet but if you use a bad website for generating your paper wallet, for example, you are not the only custodian of the wallet you generated. This does not help your wallet security and fund safety because the website has information of your wallet private keys, mnemonic seed too. [1]
A paper wallet is the name given to an obsolete and unsafe method of storing bitcoin which was popular between 2011 and 2016. It works by having a single private key and bitcoin address, usually generated by a website, being printed out onto paper.
This method has a large number of downsides and should not be used
[1] https://en.bitcoin.it/wiki/Paper_wallet