My bitcoi s was always in secure paper wallets which I can see my private keys. If you are in doubt of what you should do to get you post-fork coins i reccomend for you to store at any wallet which you can control your private keys and withdraw then of all exchanges or hot wallets.
I think during forks bitcoins that are stored on a paper wallet will not be awarded with the new token.
You should put your bitcoins into a wallet that will support the new coin to make sure that you will have it during the fork.
As long as you have access to your private keys it doesn't matter where you store your Bitcoin during forks. You will just have to use the private key in the respective wallet to pick up your coins.