I believe accounts can't hold wallets. Wallets hold accounts.
The wallet name I believe is local, not on the blockchain. The account name is what shows on the blockchain & what you send to. I believe you could import the wallet & give it any name you wanted, with different names on different computers (please correct me if I'm wrong devs). But the account names that wallet holds will always stay the same.
When you import a wallet, you import all the accounts that wallet holds. After importing I believe you need to switch to that wallet, and then switch the to the account in question to see your balance.