I don’t like your suggestions, but I like your thinking!
Now that I think about it, I’ve told myself a few times that something feels off with “Nash Channels”: not only is the “Nash” name misleading you into thinking you’re giving away control of your funds to Nash (in that regard “Channels” would be better imho), it’s also not intuitive what it is or offers.
Not sure a newcomer would understand what that button does
Why not use a verb for consistency, i.e “Deposit/Withdraw” instead of “Nash Channels” in the tooltip?
As for Nash Channels, I would call it Personal account: this is the place to put your funds if you want to use Nash services (trading, Nash Cash, Nash Link (L2), etc). In a way Nash’s L2 is the true Nash account. Naming it “Personal account” would make it the center of attention, as it should be. It also mimics what you would do on a CEX: use funds in your personal account (trading…) then withdraw them back to your wallets. Writing this, I realize that Wallet (or “Wallets”) would be better suited to fit that narrative than Vault.
All in all, this is what I would do: