The former is definitely easier though. Why would you throw the wallet file away?
I have way too many wallets of different coins around. I need to do some cleaning to understand whether I have some coin left somewhere and start using one client and one wallet.
There is nothing wrong with using more than one wallet, it is actually recommended. Why do you want a single point of failure, if you can distribute the risk to more than one wallet strategy? I use a wide veriety of wallets <Desktop / Hardware / Paper wallets / Web wallets> for different reasons and I never discard any of them.
You can even use old wallets as a early warning system <Wet Trap> to notify you, if someone is watching you or monitoring your online activities. ^smile^