Cool wallet on the paper is a good thing, but...
You make new wallet and write it on paper and put 1 btc into. After 1 year you will need put another 1 btc there, but you will not shure has your wallet the 1st 1 btc or not for some reason.
You'll need to synchronize core to be sure the your wallet has the 1st 1 btc.
If you are not sure it is a not very good idea to put your other 1 btc
You don't need to use Bitcoin Core to make a cold wallet. Electrum with a raspberry pi would be sufficient. Put the transaction info into the USB drive, go to your offline raspberry pi to sign it and broadcast it on your online computer. All activities on your Bitcoin address can be tracked easily using a block explorer. All the activities are recorded there and it is easy to check the balance with only your address.