Wind_FURY answered your questions. You should also know that Coinbase wallet is closed-source. So, if you don't like it because of its name and the support it has for Ledger hardware wallets, there is now a third reason why you should stay away from it: its closed-source nature. Who knows what's going on in the background and what happens to your keys.
OK, pardon me and respectfully, let's get the discussion into the real context and don't let it go to another sort of discussion, taking it to another context. Because, the point is, ser, to know about such simple things as this for ourselves, we must VERIFY them for ourselves.
It didn't actually matter if you were going to use, or not going to use it. A simple DYOR, and reading about it, would have been enough.
Please guys, don't take any offense from my words. I think we 've all proven that we can communicate good and respectfuly.
So, yeah, Pmalek pointed the worst argument. Being closed-source for me is the biggest red flag. I don't mean that anything open-source is necessarily good, but at least I can view and verify myself if it's good or not.