Under "Pro" for a custodial wallet, you write:
Centralized authority allows easy recovery if you forget your access password or some how lose access to your wallet
Be aware that his is also a con. If they can reset your password for you, they can reset your password for anyone else as well. A little bit of social engineering or an email hack may be all an attacker needs to convince the third party to let them in to your account.
Talking about your phone/computer being infected with malware - this is one of the main benefits of a hardware wallet such as a Ledger or Trezor. You can use them safely even on infected devices without the risk of your private keys being exposed. They also force you to confirm any transaction on the device itself, which helps to mitigate against clipboard malware (provided the user is following the proper steps and double checking the address).
You also don't mention that many third party and custodial services, including both wallets and exchanges, turn out to be complete scams, and will disappear with your coins and there is nothing you can do about it.
Speaking of scams, I would be careful about recommending freewallet. There have unresolved scam accusations against them, couple with active negative trust and warning flags. See here for more information:
Freewallet.org is a fraudster who cheated me out of 15.2BTC.
I know a friend that lost a huge amount of money. over 12,000usd from one company that designed a stellar wallet. he invested in the wallet and deposited his funds there. unfortunately, the project disappeared with his funds. he made reports to the stellar platform but their is little or Nothing for them to do.