I won't keep that Bitcoin account for more than 2 years.
I learned there is no account for bitcoin. I think you mean your hardware wallet. Those word used for to mean receive or store bitcoin is 'Wallet', 'Address' and 'clients'.
I'm wondering if it's worth the trouble to create a new account, transfer the funds, store the 2 new backup seed in different safe locations again ?
Did you mean that you will buy new hardware wallet and move your fund there ? If yes, then you are free to do it but it doesn't mean your previous wallet was on risk just for revealed your bitcoin address. Your private keys stored into your device, your public key is a hash of private keys and your address is a hash of your public key. So hash is not reversible mathematically, means no one will able to find your private keys.
(I'm not really worried about privacy, just the safety of the funds.).
Since you are not worried about your privacy then there is nothing to worry about your fund. You are fully safe and reason has describe above.