I'm no expert in bitcoin and I research information to learn step by step. Since you are asking about here is the information I found about the block 501726 and it seems there are people who experienced weird mining activity, here's the link with different answers from different people
https://www.reddit.com/r/btc/comments/7n1udq/block_501726_can_anyone_explain_why_it_happen/
https://motls.blogspot.com/2017/12/bitcoin-block-without-valid-miner-fee.html?m=1
https://bitcoin.stackexchange.com/questions/67009/can-someone-explain-this-weird-mining-activity

The benefit of having full node is that you can monitor the health of bitcoin's blockchain and also it will ensuring safety of investment and ensure valid and accurate transactions of trading bitcoin.