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As I understand it, according to the original plan, ALL of the wallets were supposed to be full nodes, so naturally there was not provided any reward only for that. Moreover! All of the nodes (wallets) were supposed to be MINERS as well! And as miners they would have gained the reward! .....

// Nodes collect new transactions into a block, hash them into a hash tree,
// and scan through nonce values to make the block's hash satisfy proof-of-work
// requirements.  When they solve the proof-of-work, they broadcast the block
// to everyone and the block is added to the block chain.  The first transaction
// in the block is a special one that creates a new coin owned by the creator
// of the block.