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The Ledger Live App does not have your private keys. So unless your ledger device is connected, you cannot lose any tokens. If your ledger device is connected, you can only unknowingly lose tokens if your Ledger Live App or an add on app is hacked. You can also unknowingly lose tokens if you open a hacked NFT that has blind signing enabled.
I personally have the same situation. I use one ledger device for “actively” managed accounts and another for accounts that I don’t touch. However, I connect my “vault” device once a month to make sure all it’s apps are up to date. I don’t want to get too out of date and maybe have to recreate the device.