Rektbuilder, a developer, has stated that cryptocurrency hardware wallet company Ledger can track user identities, apps, and even cryptocurrency balances in the device through the use of Ledger Live, its wallet management software. See more for yourself here.
In case of privacy, ledger wallet is the worst to use, but if you want to have the privacy that you want regarding your post, you will need not to use any hardware wallets that are not airgapped. Also use the airgapped one that you can use to connect to another wallet like Sparrow or Electrum. A good example is the use of Passport hardware wallet with Sparrow software wallet. You can not also trust all other hardware wallet that are not airgapped.
It is worth knowing that if possible you can go for seed signer or wallet on airgapped device, they are better for privacy. If you also know how to use them and be using QR code for transaction signing, it also offers good security because they are also cold wallets.
About a wallet knowing your wallet balance, they are SPV wallets. If you do not want a wallet not to leak your balance, wallet addresses and IP address, you will have to run your own node.