Is this the same security? The only reason I am thinking on moving to the blockchain site hardware wallet vs ledger live is on ledger live they don't show your value on your erc tokens like PAX or Teather and blockchain.com does.
Where would you store you assets for safety?
Yes, it is. remember what you meant was about blockchain lockbox and it's also created with the help from the ledger to give a check to such hardware that created by blockchain.com and it seems like a cooperation product. I believe blockchain.com is using ledger as a partnership to create lockbox wallet and that means both will have the same security.
I personally use trezor for a few years and I never encountered any problem from my trezor wallet. You can try to consider trezor as your option too.
It seems good to check it directly and see what features already offered by trezor but for me trezor is much more secure than ledger.