You're welcome! I also always got confused on this issue. 

I had actually tried to come up with some better names. Below are my notes from trying to come up with terms. I think the term I found on that forum post, of **Delegated Custody**, is much better than what I came up with.

hosted wallet (positive spin) on "not your keys"
controlled wallet - negative spin
custodian controlled wallet
external-control wallet
external-custody wallet
vs
self-custody wallet


BitcoinHandsOn

bitcoin

A better term to use, when talking about "custodial" and "non-custodial" wallets

This makes it much easier to understand. Self custody is already used and remains the same while delegated custody speaks for itself. I will start using it and explaining in case anyone doesn't understand, the change begins with adoption.

I always get confused with non-custodial and self-custodial, thanks for sharing.