You can certainly get a payment without your wallet being opened. But, if your wallet is closed you aren't maintaining the network so you won't get your "interest" or "reward" if you prefer. This is a peer-to-peer coin, there are no miners to verify transactions, so stake holders with their wallets open do that. This is why you get a reward. Because you are helping verify transactions.
+1 , Precisely.
This seems to be an overlooked point about PoS coins. The open wallets are the network. If holders want to keep wallets closed most of the time, the coin dies in the long term.
Therefore the habit of frequently minting stake needs to be encouraged in all aspects of a currency..
yeah i know, in fact my wallet is opened all the time, but i wanted to say that you can get reward even if your wallet is closed