Why, when sending BTC to my pruned node's generated wallet, the BTC aren't showing there?
Your node isn't synced with the blockchain yet.

 "blocks": 367670,


Your node has downloaded and verified 367670 blocks.  According to https://blockchain.info/ there are currently 484790 blocks in the blockchain.  Your node will not have an up-to-date view of the transaction register until it has downloaded and processed all of them.  At that time, your transaction should become visible to your node.